Edit Profile Guralnick, Robert Michael Compute Distance To: Compute Author ID: guralnick.robert-m Published as: Guralnick, R.; Guralnick, R. M.; Guralnick, Robert; Guralnick, Robert M. Homepage: https://dornsife.usc.edu/cf/faculty-and-staff/faculty.cfm?pid=1003312 External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND Documents Indexed: 260 Publications since 1977, including 4 Books Reviewing Activity: 68 Reviews Biographic References: 1 Publication all top 5 Co-Authors 51 single-authored 24 Tiep Pham Huu 16 Saxl, Jan 11 Malle, Gunter 9 Fulman, Jason E. 7 Garibaldi, Skip 7 Kantor, William M. 6 Estes, Dennis Ray 6 Goldstein, Daniel E. 6 Magaard, Kay 6 Maróti, Attila 6 Navarro, Gabriel 6 Praeger, Cheryl Elisabeth 6 Shalev, Aner 6 Wiegand, Roger Allen 5 Burness, Timothy C. 5 Liebeck, Martin Walter 4 Aschbacher, Michael George 4 Kassabov, Martin 4 Levy, Lawrence S. 4 Lubotzky, Alexander 4 Robinson, Geoffrey Raymond 4 Zieve, Michael E. 3 Bass, Hyman 3 Chinburg, Ted 3 Dolfi, Silvio 3 Goldstein, Daniel G. 3 Harbater, David 3 Isaacs, I. Martin 3 Larsen, Michael Jeffrey 3 Lübeck, Frank 3 Miller, Michael D. 3 Montgomery, Susan 3 Schacher, Murray M. 3 Small, Lance W. 3 Spiga, Pablo 2 Breuer, Thomas 2 Breuillard, Emmanuel 2 Britnell, John R. 2 Etingof, Pavel Il’ich 2 Evseev, Anton 2 Frohardt, Daniel E. 2 Gaál, Marcell 2 Goldberg, Moshe 2 Green, Ben Joseph 2 Herzig, Florian 2 Hiss, Gerhard 2 Holmes, Petra E. 2 Howe, Everett W. 2 Katz, Nicholas Michael 2 Lanski, Charles 2 Li, Chi-Kwong 2 Luxemburg, Wilhelmus Anthonius Josephus 2 Lyons, Richard 2 Moretó, Alexander 2 Müller, Peter 2 Seitz, Gary M. 2 Shareshian, John 2 Shumyatsky, Pavel 2 Tao, Terence 2 Zel’manov, Efim Isaakovich 1 Adkins, William A. 1 Aivazidis, Stefanos 1 Alladi, Krishnaswami 1 Andrews, George Eyre 1 Barnea, Yiftach 1 Bending, Peter 1 Bernik, Janez 1 Bhargava, Manjul 1 Bhatia, Rajendra 1 Brenner, Joël Lee 1 Camillo, Victor P. 1 Camina, Alan R. 1 Colliot-Thélène, Jean-Louis 1 del Río, Angel 1 Diaconis, Persi Warren 1 Evard, Jean-Claude 1 Fein, Burton 1 Flavell, Paul 1 Freedman, A. P. 1 Fried, Michael David 1 Frohardt, Dan 1 Gelaki, Shlomo 1 Gerhardt, Spencer 1 Glauberman, George 1 Goldstein, Daniel J. 1 Gonçalves, Jairo Zacarias 1 Gordon, Basil 1 Grunenfelder, Luzius 1 Guest, Simon D. 1 Gupta, Ram Niwas 1 Haran, Dan 1 Harper, Scott 1 Harris, Michael Howard 1 Herzog, Marcel 1 Hoffman, Corneliu G. 1 Jaffe, David B. 1 Joyner, David 1 Kedlaya, Kiran Sridhara 1 Kimmerle, Wolfgang 1 Kirkland, Steve J. ...and 61 more Co-Authors all top 5 Serials 50 Journal of Algebra 18 Linear Algebra and its Applications 16 Proceedings of the American Mathematical Society 10 Israel Journal of Mathematics 9 Linear and Multilinear Algebra 9 Transactions of the American Mathematical Society 7 Advances in Mathematics 6 Journal of the European Mathematical Society (JEMS) 5 Communications in Algebra 5 Journal of Combinatorial Theory. Series A 4 Bulletin of the London Mathematical Society 4 Journal of Number Theory 4 Journal of Pure and Applied Algebra 4 Pacific Journal of Mathematics 4 Proceedings of the London Mathematical Society. Third Series 4 Annals of Mathematics. Second Series 3 Archiv der Mathematik 3 Compositio Mathematica 3 Glasgow Mathematical Journal 3 Journal of Group Theory 3 Algebra & Number Theory 2 Rocky Mountain Journal of Mathematics 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Memoirs of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Transformation Groups 2 Representation Theory 2 Groups, Geometry, and Dynamics 2 Forum of Mathematics, Pi 1 American Mathematical Monthly 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics Magazine 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Combinatorica 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Aequationes Mathematicae 1 Journal of the Australian Mathematical Society. Series A 1 Notices of the American Mathematical Society 1 Irish Mathematical Society Bulletin 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 ELA. The Electronic Journal of Linear Algebra 1 Annals of Combinatorics 1 Journal of the Australian Mathematical Society 1 Oberwolfach Reports 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Contemporary Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Bulletin of Mathematical Sciences 1 Research in Number Theory 1 Tunisian Journal of Mathematics all top 5 Fields 178 Group theory and generalizations (20-XX) 37 Algebraic geometry (14-XX) 37 Associative rings and algebras (16-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 32 Number theory (11-XX) 26 Field theory and polynomials (12-XX) 20 Commutative algebra (13-XX) 12 Combinatorics (05-XX) 9 Nonassociative rings and algebras (17-XX) 8 Functions of a complex variable (30-XX) 6 General and overarching topics; collections (00-XX) 5 Topological groups, Lie groups (22-XX) 4 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 \(K\)-theory (19-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 234 Publications have been cited 2,636 times in 1,666 Documents Cited by ▼ Year ▼ Subgroups of prime power index in a simple group. Zbl 0515.20011Guralnick, Robert M. 168 1983 Some applications of the first cohomology group. Zbl 0554.20017Aschbacher, M.; Guralnick, R. 107 1984 Probabilistic generation of finite simple groups. Zbl 0973.20012Guralnick, Robert M.; Kantor, William M. 77 2000 Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. Zbl 1256.20048Fulman, Jason; Guralnick, Robert 62 2012 Linear groups with orders having certain large prime divisors. Zbl 1041.20035Guralnick, Robert; Penttila, Tim; Praeger, Cheryl E.; Saxl, Jan 56 1999 Generation of finite almost simple groups by conjugates. Zbl 1037.20016Guralnick, Robert M.; Saxl, Jan 55 2003 On the commuting probability in finite groups. Zbl 1100.20045Guralnick, Robert M.; Robinson, Geoffrey R. 47 2006 A note on commuting pairs of matrices. Zbl 0754.15011Guralnick, Robert M. 46 1992 Cross characteristic representations of symplectic and unitary groups. Zbl 1025.20002Guralnick, Robert M.; Magaard, Kay; Saxl, Jan; Pham Huu Tiep 45 2002 On the minimal degree of a primitive permutation group. Zbl 0911.20003Guralnick, Robert; Magaard, Kay 36 1998 Products of conjugacy classes and fixed point spaces. Zbl 1286.20007Guralnick, Robert; Malle, Gunter 34 2012 Cross characteristic representations of even characteristic symplectic groups. Zbl 1062.20013Guralnick, Robert M.; Pham Huu Tiep 34 2004 Schur covers and Carlitz’s conjecture. Zbl 0855.11063Fried, Michael D.; Guralnick, Robert; Saxl, Jan 34 1993 Module equivalences: Local to global. When primitive polynomials represent units. Zbl 0492.13005Estes, Dennis R.; Guralnick, Robert M. 33 1982 Probabilistic generation of finite simple groups. II. Zbl 1181.20013Breuer, Thomas; Guralnick, Robert M.; Kantor, William M. 31 2008 Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements. Zbl 1018.17007Etingof, Pavel; Soloviev, Alexander; Guralnick, Robert 30 2001 Simple groups admit Beauville structures. Zbl 1255.20009Guralnick, Robert; Malle, Gunter 27 2012 Self-normalizing Sylow subgroups. Zbl 1049.20010Guralnick, Robert M.; Malle, Gunter; Navarro, Gabriel 24 2004 The rational function analogue of a question of Schur and exceptionality of permutation representations. Zbl 1082.12004Guralnick, Robert M.; Müller, Peter; Saxl, Jan 24 2003 Low-dimensional representations of special linear groups in cross characteristics. Zbl 0974.20014Guralnick, Robert M.; Pham Huu Tiep 24 1999 Finite groups of genus zero. Zbl 0713.20011Guralnick, Robert M.; Thompson, John G. 23 1990 Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 22 2008 Finite simple unisingular groups of Lie type. Zbl 1046.20013Guralnick, Robert M.; Pham Huu Tiep 22 2003 Commuting pairs and triples of matrices and related varieties. Zbl 0971.15007Guralnick, Robert M.; Sethuraman, B. A. 22 2000 On the number of generators of a finite group. Zbl 0675.20026Guralnick, Robert M. 22 1989 Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander 21 2007 Derangements in simple and primitive groups. Zbl 1036.20002Fulman, Jason; Guralnick, Robert 21 2003 On Abelian quotients of primitive groups. Zbl 0679.20001Aschbacher, Michael; Guralnick, Robert M. 21 1989 Triangularization of sets of matrices. Zbl 0443.15006Guralnick, Robert M. 21 1980 On \(p\)-singular elements in Chevalley groups in characteristic \(p\). Zbl 1001.20045Guralnick, Robert M.; Lübeck, Frank 20 2001 Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 19 2012 Sets of elements that pairwise generate a linear group. Zbl 1140.05033Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A. 19 2008 Decompositions of small tensor powers and Larsen’s conjecture. Zbl 1109.20040Guralnick, Robert M.; Tiep, Pham Huu 19 2005 The probability of generating a classical group. Zbl 0820.20022Guralnick, Robert M.; Kantor, William M.; Saxl, Jan 19 1994 Subgroups inducing the same permutation representation. Zbl 0527.20005Guralnick, Robert M. 19 1983 Solvable generation of groups and Sylow subgroups of the lower central series. Zbl 0485.20012Aschbacher, M.; Guralnick, R. 19 1982 Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P. 18 2010 The first cohomology group and generation of simple groups. Zbl 0894.20039Guralnick, Robert M.; Hoffman, Corneliu 18 1998 Invertible preservers and algebraic groups. Zbl 0814.15002Guralnick, Robert M. 18 1994 Generation of simple groups. Zbl 0601.20013Guralnick, Robert M. 18 1986 Roth’s theorems and decomposition of modules. Zbl 0468.16022Guralnick, Robert M. 18 1981 On base sizes for symmetric groups. Zbl 1222.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 17 2011 Alternating forms and self-adjoint operators. Zbl 1111.11022Goldstein, Daniel; Guralnick, Robert M. 17 2007 Derived subgroups of fixed points. Zbl 1050.20013Guralnick, Robert; Shumyatsky, Pavel 17 2001 Modules for algebraic groups with finitely many orbits on subspaces. Zbl 0906.20029Guralnick, Robert M.; Liebeck, Martin W.; Macpherson, Dugald; Seitz, Gary M. 17 1997 Symmetric powers and a problem of Kollár and Larsen. Zbl 1245.20058Guralnick, Robert M.; Tiep, Pham Huu 16 2008 Thompson-like characterizations of the solvable radical. Zbl 1118.20021Guralnick, Robert; Kunyavskiĭ, Boris; Plotkin, Eugene; Shalev, Aner 16 2006 The non-coprime \(k(GV)\) problem. Zbl 1083.20006Guralnick, Robert M.; Tiep, Pham Huu 16 2005 Bounds for fixed point free elements in a transitive group and applications to curves over finite fields. Zbl 0910.11053Guralnick, Robert; Wan, Daqing 16 1997 Commutators and commutator subgroups. Zbl 0505.20022Guralnick, Robert M. 16 1982 Derangements in subspace actions of finite classical groups. Zbl 1431.20033Fulman, Jason; Guralnick, Robert 15 2017 On fixed points of permutations. Zbl 1192.20001Diaconis, Persi; Fulman, Jason; Guralnick, Robert 15 2008 On base sizes for algebraic groups. Zbl 1445.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 14 2017 Simple groups stabilizing polynomials. Zbl 1365.20046Garibaldi, Skip; Guralnick, Robert M. 14 2015 Classification of \(2F\)-modules. II. Zbl 1085.20004Guralnick, Robert M.; Malle, Gunter 14 2004 Conjugacy class properties of the extension of \(\text{GL}(n,q)\) generated by the inverse transpose involution. Zbl 1065.20065Fulman, Jason; Guralnick, Robert 14 2004 Monodromy groups of polynomials. Zbl 0848.12002Guralnick, Robert M.; Saxl, Jan 14 1995 Similarity of matrices over local rings. Zbl 0478.15017Guralnick, Robert M. 14 1981 Normalizers of primitive permutation groups. Zbl 1414.20002Guralnick, Robert M.; Maróti, Attila; Pyber, László 13 2017 First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039Guralnick, Robert M.; Tiep, Pham Huu 13 2011 Oort groups and lifting problems. Zbl 1158.12003Chinburg, T.; Guralnick, R.; Harbater, D. 13 2008 On the spread of finite simple groups. Zbl 1027.20004Guralnick, Robert M.; Shalev, Aner 13 2003 The genus of a module. II: Roiter’s theorem, power cancellation and extension of scalars. Zbl 0621.16007Guralnick, Robert M. 13 1987 Matrix equivalence and isomorphism of modules. Zbl 0493.16015Guralnick, Robert M. 13 1982 Pseudosimilarity and cancellation of modules. Zbl 0493.15010Guralnick, Robert; Lanski, Charles 13 1982 The automorphism groups of a family of maximal curves. Zbl 1285.11094Guralnick, Robert; Malmskog, Beth; Pries, Rachel 12 2012 Average dimension of fixed point spaces with applications. Zbl 1211.20011Guralnick, Robert M.; Maróti, Attila 12 2011 Characterizations of the solvable radical. Zbl 1202.20026Flavell, Paul; Guest, Simon; Guralnick, Robert 12 2010 Exceptional covers and bijections on rational points. Zbl 1127.14023Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E. 12 2007 Symmetric and alternating groups as monodromy groups of Riemann surfaces. I: Generic covers and covers with many branch points. With an appendix by R. Guralnick and R. Stafford. Zbl 1140.14026Guralnick, Robert M.; Shareshian, John 12 2007 Small representations are completely reducible. Zbl 0941.20001Guralnick, Robert M. 12 1999 Invertible preservers and algebraic groups. III: Preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups. Zbl 0889.20027Guralnick, Robert M.; Li, Chi-Kwong 12 1997 Expansion in finite simple groups of Lie type. Zbl 1331.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 11 2015 On rational and concise words. Zbl 1346.20042Guralnick, Robert; Shumyatsky, Pavel 11 2015 Rational rigidity for \(E_8(p)\). Zbl 1328.12007Guralnick, Robert; Malle, Gunter 11 2014 Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 11 2014 Presentations of finite simple groups: a computational approach. Zbl 1256.20008Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 11 2011 Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups. Zbl 1193.16026Guralnick, Robert; Montgomery, Susan 11 2009 Monodromy groups of coverings of curves. Zbl 1071.20001Guralnick, Robert 11 2003 Classification of \(2F\)-modules. I. Zbl 1017.20005Guralnick, Robert M.; Malle, Gunter 11 2002 The probability of generating a finite soluble group. Zbl 1043.20047Guralnick, R. M.; Wilson, J. S. 11 2000 Shirshov’s theorem and representations of semigroups. Zbl 0915.20034Freedman, A.; Gupta, R. N.; Guralnick, R. M. 11 1998 Polynomial rings over Goldie rings are often Goldie. Zbl 0608.16020Camillo, Victor; Guralnick, Robert 11 1986 Lifting homomorphisms of modules. Zbl 0558.16003Guralnick, Robert M. 11 1985 The local lifting problem for actions of finite groups on curves. Zbl 1239.14024Chinburg, Ted; Guralnick, Robert; Harbater, David 10 2011 Monodromy groups of branched coverings: The generic case. Zbl 0845.20002Guralnick, Robert M.; Neubauer, Michael G. 10 1995 On extensions of the Baer-Suzuki theorem. Zbl 0794.20029Guralnick, Robert M.; Robinson, Geoffrey R. 10 1993 Galois groups and the multiplicative structure of field extensions. Zbl 0753.12003Guralnick, Robert; Wiegand, Roger 10 1992 Roth’s theorems for sets of matrices. Zbl 0584.15006Guralnick, Robert M. 10 1985 A note on the local-global principle for similarity of matrices. Zbl 0442.15009Guralnick, Robert M. 10 1980 A note on pairs of matrices with rank one commutator. Zbl 0423.15005Guralnick, Robert M. 10 1979 Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture. Zbl 06862789Fulman, Jason; Guralnick, Robert 9 2018 Effective results on the Waring problem for finite simple groups. Zbl 1338.20009Guralnick, Robert M.; Tiep, Pham Huu 9 2015 The number of regular semisimple conjugacy classes in the finite classical groups. Zbl 1295.20048Fulman, Jason; Guralnick, Robert 9 2013 Products of conjugacy classes in finite and algebraic simple groups. Zbl 1277.20029Guralnick, Robert M.; Malle, Gunter; Tiep, Pham Huu 9 2013 Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 9 2012 Some applications of subgroup structure to probabilistic generation and covers of curves. Zbl 0973.20011Guralnick, Robert M. 9 1998 Invertible preservers and algebraic groups. II: Preservers of similarity invariants and overgroups of \(\text{PSL}_ n(\mathbb{F})\). Zbl 0889.20026Guralnick, Robert M. 9 1997 Exceptional polynomials of affine type. Zbl 0911.11049Guralnick, Robert M.; Müller, Peter 9 1997 Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037Guralnick, Robert; Navarro, Gabriel 8 2016 The spread of a finite group. Zbl 07331717Burness, Timothy; Guralnick, Robert; Harper, Scott 1 2021 Centers of Sylow subgroups and automorphisms. Zbl 07297406Glauberman, George; Guralnick, Robert; Lynd, Justin; Navarro, Gabriel 2 2020 Generically free representations. I: Large representations. Zbl 07248667Garibaldi, Skip; Guralnick, Robert 1 2020 Generically free representations III: extremely bad characteristic. Zbl 07239293Garibaldi, Skip; Guralnick, Robert M. 1 2020 Generically free representations II: irreducible representations. Zbl 07239292Garibaldi, Skip; Guralnick, Robert M. 1 2020 Variants of some of the Brauer-Fowler theorems. Zbl 07203064Guralnick, Robert M.; Robinson, Geoffrey R. 1 2020 Topological generation of exceptional algebraic groups. Zbl 07202990Burness, Timothy C.; Gerhardt, Spencer; Guralnick, Robert M. 1 2020 Character levels and character bounds. Zbl 07158138Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 1 2020 Rigid local systems and alternating groups. Zbl 1454.11217Guralnick, Robert; Katz, Nicholas; Tiep, Pham Huu 4 2019 Conjugacy classes, characters and products of elements. Zbl 1454.20009Guralnick, Robert M.; Moretó, Alexander 2 2019 Zero-one generation laws for finite simple groups. Zbl 07057701Guralnick, Robert M.; Liebeck, Martin W.; Lübeck, Frank; Shalev, Aner 2 2019 Permutation representations of nonsplit extensions involving alternating groups. Zbl 1454.20013Guralnick, Robert M.; Liebeck, Martin W. 1 2019 Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture. Zbl 06862789Fulman, Jason; Guralnick, Robert 9 2018 Surjective word maps and Burnside’s \(p^aq^b\) theorem. Zbl 1397.20037Guralnick, Robert M.; Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu 6 2018 Symmetric and alternating powers of Weil representations of finite symplectic groups. Zbl 07069218Guralnick, Robert M.; Magaard, Kay; Tiep, Pham Huu 5 2018 Enumeration of commuting pairs in Lie algebras over finite fields. Zbl 1395.05190Fulman, Jason; Guralnick, Robert 2 2018 On isometry groups of self-adjoint traceless and skew-symmetric matrices. Zbl 1380.15027Gaál, Marcell; Guralnick, Robert M. 2 2018 Derangements in subspace actions of finite classical groups. Zbl 1431.20033Fulman, Jason; Guralnick, Robert 15 2017 On base sizes for algebraic groups. Zbl 1445.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 14 2017 Normalizers of primitive permutation groups. Zbl 1414.20002Guralnick, Robert M.; Maróti, Attila; Pyber, László 13 2017 Asymptotics of the number of involutions in finite classical groups. Zbl 1376.20055Fulman, Jason; Guralnick, Robert; Stanton, Dennis 6 2017 Spinors and essential dimension. Zbl 06782033Garibaldi, Skip; Guralnick, Robert M. 5 2017 Adequate subgroups and indecomposable modules. Zbl 1460.20003Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu 5 2017 Finite simple groups: thirty years of the atlas and beyond. International conference celebrating the atlases and honoring John Conway, Princeton University, Princeton, NJ, USA, November 2–5, 2015. Zbl 1372.20002Bhargava, Manjul (ed.); Guralnick, Robert (ed.); Hiss, Gerhard (ed.); Lux, Klaus (ed.); Tiep, Pham Huu (ed.) 3 2017 Endomorphism fields of abelian varieties. Zbl 1441.11154Guralnick, Robert; Kedlaya, Kiran S. 2 2017 Global Oort groups. Zbl 1406.20007Chinburg, Ted; Guralnick, Robert; Harbater, David 2 2017 A lower bound for the dimension of a highest weight module. Zbl 1429.17010Goldstein, Daniel; Guralnick, Robert; Stong, Richard 1 2017 Globally irreducible Weyl modules. Zbl 1427.20062Garibaldi, Skip; Guralnick, Robert M.; Nakano, Daniel K. 1 2017 Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037Guralnick, Robert; Navarro, Gabriel 8 2016 Essential dimension of algebraic groups, including bad characteristic. Zbl 1369.11029Garibaldi, Skip; Guralnick, Robert M. 6 2016 On the maximal number of coprime subdegrees in finite primitive permutation groups. Zbl 1398.20004Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo 1 2016 Finite groups with odd Sylow normalizers. Zbl 1361.20018Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu 1 2016 Simple groups stabilizing polynomials. Zbl 1365.20046Garibaldi, Skip; Guralnick, Robert M. 14 2015 Expansion in finite simple groups of Lie type. Zbl 1331.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 11 2015 On rational and concise words. Zbl 1346.20042Guralnick, Robert; Shumyatsky, Pavel 11 2015 Effective results on the Waring problem for finite simple groups. Zbl 1338.20009Guralnick, Robert M.; Tiep, Pham Huu 9 2015 Lifting in Frattini covers and a characterization of finite solvable groups. Zbl 1343.20022Guralnick, Robert M.; Tiep, Pham Huu 6 2015 Adequate groups of low degree. Zbl 1365.20008Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu 5 2015 Variations on the Baer-Suzuki theorem. Zbl 1321.20018Guralnick, Robert; Malle, Gunter 4 2015 On a relation between the rank and the proportion of derangements in finite transitive permutation groups. Zbl 1323.20003Guralnick, R.; Isaacs, I. M.; Spiga, P. 3 2015 Products and commutators of classes in algebraic groups. Zbl 1329.20061Guralnick, Robert; Malle, Gunter 3 2015 Rational rigidity for \(E_8(p)\). Zbl 1328.12007Guralnick, Robert; Malle, Gunter 11 2014 Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 11 2014 Cosets of Sylow \(p\)-subgroups and a question of Richard Taylor. Zbl 1300.20026Goldstein, Daniel; Guralnick, Robert 5 2014 Groups with exactly one irreducible character of degree divisible by \(p\). Zbl 1302.20010Goldstein, Daniel; Guralnick, Robert; Lewis, Mark; Moretó, Alexander; Navarro, Gabriel; Tiep, Pham Huu 2 2014 Applications of the classification of finite simple groups. Zbl 1373.20014Guralnick, Robert 1 2014 The number of regular semisimple conjugacy classes in the finite classical groups. Zbl 1295.20048Fulman, Jason; Guralnick, Robert 9 2013 Products of conjugacy classes in finite and algebraic simple groups. Zbl 1277.20029Guralnick, Robert M.; Malle, Gunter; Tiep, Pham Huu 9 2013 Coprime subdegrees for primitive permutation groups and completely reducible linear groups. Zbl 1287.20005Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo 7 2013 Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. Zbl 1256.20048Fulman, Jason; Guralnick, Robert 62 2012 Products of conjugacy classes and fixed point spaces. Zbl 1286.20007Guralnick, Robert; Malle, Gunter 34 2012 Simple groups admit Beauville structures. Zbl 1255.20009Guralnick, Robert; Malle, Gunter 27 2012 Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 19 2012 The automorphism groups of a family of maximal curves. Zbl 1285.11094Guralnick, Robert; Malmskog, Beth; Pries, Rachel 12 2012 Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 9 2012 A new solvability criterion for finite groups. Zbl 1246.20015Dolfi, Silvio; Guralnick, Robert M.; Herzog, Marcel; Praeger, Cheryl E. 8 2012 Adequate subgroups. II. Zbl 1309.11048Guralnick, Robert 4 2012 Low degree representations of simple Lie groups. Zbl 1247.22006Guralnick, Robert; Larsen, Michael; Manack, Corey 4 2012 A problem of Kollár and Larsen on finite linear groups and crepant resolutions. Zbl 1257.14013Guralnick, Robert M.; Pham Huu Tiep 3 2012 Characteristic polynomials and fixed spaces of semisimple elements. Zbl 1320.20042Guralnick, Robert; Malle, Gunter 2 2012 Certain subgroups of Weyl groups are split. Zbl 1258.20007Goldstein, Daniel; Guralnick, Robert M. 1 2012 On base sizes for symmetric groups. Zbl 1222.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 17 2011 First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039Guralnick, Robert M.; Tiep, Pham Huu 13 2011 Average dimension of fixed point spaces with applications. Zbl 1211.20011Guralnick, Robert M.; Maróti, Attila 12 2011 Presentations of finite simple groups: a computational approach. Zbl 1256.20008Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 11 2011 The local lifting problem for actions of finite groups on curves. Zbl 1239.14024Chinburg, Ted; Guralnick, Robert; Harbater, David 10 2011 Real class sizes and real character degrees. Zbl 1210.20010Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu 8 2011 On a subfactor generalization of Wall’s conjecture. Zbl 1253.46068Guralnick, Robert; Xu, Feng 7 2011 Frobenius subgroups of free profinite products. Zbl 1228.20025Guralnick, Robert M.; Haran, Dan 2 2011 Corrigendum to “Sets of elements that pairwise generate a linear group” [J. Comb. Theory, Ser. A 115, No. 3, 442–465 (2008)]. Zbl 1223.05111Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A. 2 2011 Remarks on proficient groups. Zbl 1239.20037Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 1 2011 Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P. 18 2010 Characterizations of the solvable radical. Zbl 1202.20026Flavell, Paul; Guest, Simon; Guralnick, Robert 12 2010 Polynomials with \(\text{PSL}(2)\) monodromy. Zbl 1214.12003Guralnick, Robert M.; Zieve, Michael E. 8 2010 A new family of exceptional polynomials in characteristic two. Zbl 1214.12002Guralnick, Robert M.; Rosenberg, Joel; Zieve, Michael E. 7 2010 Commutators and wreath products. Zbl 1214.20037Guralnick, Robert M. 3 2010 Automorphic realization of residual Galois representations. Zbl 1257.11051Guralnick, Robert; Harris, Michael; Katz, Nicholas M. 2 2010 Nil subrings of endomorphism rings of finitely generated modules over affine PI-rings. Zbl 1218.16014Guralnick, Robert M.; Small, Lance W.; Zelmanov, Efim 1 2010 Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups. Zbl 1193.16026Guralnick, Robert; Montgomery, Susan 11 2009 Probabilistic generation of finite simple groups. II. Zbl 1181.20013Breuer, Thomas; Guralnick, Robert M.; Kantor, William M. 31 2008 Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 22 2008 Sets of elements that pairwise generate a linear group. Zbl 1140.05033Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A. 19 2008 Symmetric powers and a problem of Kollár and Larsen. Zbl 1245.20058Guralnick, Robert M.; Tiep, Pham Huu 16 2008 On fixed points of permutations. Zbl 1192.20001Diaconis, Persi; Fulman, Jason; Guralnick, Robert 15 2008 Oort groups and lifting problems. Zbl 1158.12003Chinburg, T.; Guralnick, R.; Harbater, D. 13 2008 Addendum to paper “On the commuting probability in finite groups”. Zbl 1176.20067Guralnick, R. M.; Robinson, G. R. 3 2008 Frobenius groups as monodromy groups. Zbl 1195.14040Guralnick, Robert M. 2 2008 Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E. 2 2008 Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander 21 2007 Alternating forms and self-adjoint operators. Zbl 1111.11022Goldstein, Daniel; Guralnick, Robert M. 17 2007 Exceptional covers and bijections on rational points. Zbl 1127.14023Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E. 12 2007 Symmetric and alternating groups as monodromy groups of Riemann surfaces. I: Generic covers and covers with many branch points. With an appendix by R. Guralnick and R. Stafford. Zbl 1140.14026Guralnick, Robert M.; Shareshian, John 12 2007 Burnside-type problems related to solvability. Zbl 1179.20014Guralnick, Robert; Plotkin, Eugene; Shalev, Aner 7 2007 The 2F-modules for nearly simple groups. Zbl 1115.20002Guralnick, Robert M.; Lawther, Ross; Malle, Gunter 7 2007 Intersections of conjugacy classes and subgroups of algebraic groups. Zbl 1112.20040Guralnick, Robert M. 7 2007 Elementary Abelian 2-subgroups of Sidki-type in finite groups. Zbl 1135.20008Aschbacher, Michael; Guralnick, Robert; Segev, Yoav 1 2007 On the commuting probability in finite groups. Zbl 1100.20045Guralnick, Robert M.; Robinson, Geoffrey R. 47 2006 Thompson-like characterizations of the solvable radical. Zbl 1118.20021Guralnick, Robert; Kunyavskiĭ, Boris; Plotkin, Eugene; Shalev, Aner 16 2006 Inversion invariant additive subgroups of division rings. Zbl 1122.17024Goldstein, Daniel; Guralnick, Robert M.; Small, Lance; Zelmanov, Efim 6 2006 Orders of finite groups of matrices. Zbl 1203.20042Guralnick, Robert M.; Lorenz, Martin 6 2006 ...and 134 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,551 Authors 127 Guralnick, Robert Michael 64 Tiep Pham Huu 58 Lucchini, Andrea 41 Shumyatsky, Pavel 35 Shalev, Aner 32 Praeger, Cheryl Elisabeth 28 Burness, Timothy C. 28 Li, Caiheng 26 Liebeck, Martin Walter 25 Maróti, Attila 25 Spiga, Pablo 24 Navarro, Gabriel 18 Magaard, Kay 18 Saxl, Jan 16 Giudici, Michael 15 Detomi, Eloisa 15 O’Brien, Eamonn A. 15 Zalesski, Alexandre Efimovich 14 Kantor, William M. 14 Morigi, Marta 14 Tong-Viet, Hung P. 13 Yang, Yong 12 Fulman, Jason E. 12 Kunyavskiĭ, Boris Èmmanuilovich 12 Li, Chi-Kwong 12 Malle, Gunter 11 Lubotzky, Alexander 11 Pellegrini, Marco Antonio 10 Chen, Huanyin 10 Larsen, Michael Jeffrey 10 Li, Xianhua 10 Moretó, Alexander 10 Pyber, László 10 Radjavi, Heydar 9 Cameron, Peter Jephson 9 Gordeev, Nikolai L. 9 Guest, Simon D. 9 Nguyen, Hung Ngoc 8 Acciarri, Cristina 8 Aschbacher, Michael George 8 Crestani, Eleonora 8 Garibaldi, Skip 8 Garonzi, Martino 8 Katz, Nicholas Michael 8 Wiegand, Roger Allen 7 Beltrán, Antonio Felip 7 Grechkoseeva, Mariya Aleksandrovna 7 Halasi, Zoltán 7 Kassabov, Martin 7 Keller, Thomas Michael 7 Kondrat’ev, Anatoliĭ Semenovich 7 Laffey, Thomas J. 7 Plotkin, Eugene 7 Schaeffer Fry, Amanda A. 7 Scott, Leonard L. 7 Vinroot, C. Ryan 7 Xia, Binzhou 6 Brooksbank, Peter A. 6 Di Martino, Lino 6 Fang, Xingui 6 Garion, Shelly 6 Harper, Scott 6 Isaacs, I. Martin 6 Klingler, Lee C. 6 Kontogeorgis, Aristides I. 6 Leedham-Green, Charles R. 6 Liu, Weijun 6 Lübeck, Frank 6 Meierfrankenfeld, Ulrich 6 Miao, Long 6 Montgomery, Susan 6 Müller, Peter 6 O’Meara, Kevin C. 6 Qian, Guohua 6 Roney-Dougal, Colva M. 6 Šivic, Klemen 6 Stellmacher, Bernd 6 Wang, Qingwen 6 Zhang, Cui 5 Abdollahi, Alireza 5 Abhyankar, Shreeram Shankar 5 Andrade Martins, Enide 5 Baumeister, Barbara 5 Caranti, Andrea 5 Dalla Volta, Francesca 5 Damian, Erika 5 Diaconis, Persi Warren 5 Goldberg, Moshe 5 Grunewald, Fritz J. 5 Khukhro, Evgeniĭ I. 5 Kleshchev, Alexander S. 5 Marion, Claude 5 Martin, Benjamin M. S. 5 Menegazzo, Federico 5 Montanucci, Maria 5 Omladič, Matjaž 5 Pan, Jiangmin 5 Röhrle, Gerhard E. 5 Seress, Ákos 5 Silva, Fernando Conceição ...and 1,451 more Authors all top 5 Cited in 223 Serials 308 Journal of Algebra 118 Communications in Algebra 100 Linear Algebra and its Applications 68 Transactions of the American Mathematical Society 62 Israel Journal of Mathematics 49 Journal of Group Theory 47 Proceedings of the American Mathematical Society 44 Journal of Pure and Applied Algebra 39 Archiv der Mathematik 32 Advances in Mathematics 31 Finite Fields and their Applications 24 Discrete Mathematics 21 Journal of Number Theory 21 Journal of Algebraic Combinatorics 21 Journal of Algebra and its Applications 20 Linear and Multilinear Algebra 20 Journal of Combinatorial Theory. Series A 18 Bulletin of the Australian Mathematical Society 18 Monatshefte für Mathematik 16 Journal of the Australian Mathematical Society 15 Mathematische Zeitschrift 13 International Journal of Algebra and Computation 11 Inventiones Mathematicae 11 Siberian Mathematical Journal 11 European Journal of Combinatorics 11 Algebra Colloquium 11 Journal of Mathematical Sciences (New York) 11 Forum of Mathematics, Sigma 10 Rocky Mountain Journal of Mathematics 10 Duke Mathematical Journal 10 Memoirs of the American Mathematical Society 10 Proceedings of the Steklov Institute of Mathematics 10 Groups, Geometry, and Dynamics 9 Algebras and Representation Theory 9 Annals of Mathematics. Second Series 8 Algebra and Logic 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Glasgow Mathematical Journal 8 Mathematische Annalen 8 Designs, Codes and Cryptography 8 Transformation Groups 8 International Journal of Group Theory 7 Forum Mathematicum 7 Bulletin of the American Mathematical Society. New Series 6 Manuscripta Mathematica 6 Journal of the European Mathematical Society (JEMS) 6 Science China. Mathematics 5 Mathematical Notes 5 Bulletin of the London Mathematical Society 5 Journal of Combinatorial Theory. Series B 5 Journal of Functional Analysis 5 Rendiconti del Seminario Matematico della Università di Padova 5 Journal of Symbolic Computation 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Ukrainian Mathematical Journal 4 Annales de l’Institut Fourier 4 Applied Mathematics and Computation 4 Geometriae Dedicata 4 Journal of the Mathematical Society of Japan 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Soviet Mathematics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Quaestiones Mathematicae 4 Journal of the American Mathematical Society 4 Indagationes Mathematicae. New Series 4 Journal of Knot Theory and its Ramifications 4 Acta Mathematica Sinica. English Series 4 Problemy Fiziki, Matematiki i Tekhniki 4 Forum of Mathematics, Pi 3 Compositio Mathematica 3 Czechoslovak Mathematical Journal 3 The Journal of Symbolic Logic 3 Michigan Mathematical Journal 3 Nagoya Mathematical Journal 3 Pacific Journal of Mathematics 3 Results in Mathematics 3 Topology and its Applications 3 Acta Applicandae Mathematicae 3 Graphs and Combinatorics 3 Science in China. Series A 3 Geometric and Functional Analysis. GAFA 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Combinatorics, Probability and Computing 3 Representation Theory 3 Annals of Combinatorics 3 LMS Journal of Computation and Mathematics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Algebra & Number Theory 3 Japanese Journal of Mathematics. 3rd Series 3 Research in the Mathematical Sciences 3 Research in Number Theory 3 Algebraic Combinatorics 2 Communications in Mathematical Physics 2 Journal of the Franklin Institute 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Beiträge zur Algebra und Geometrie 2 Le Matematiche 2 Proceedings of the London Mathematical Society. Third Series 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Ricerche di Matematica ...and 123 more Serials all top 5 Cited in 50 Fields 1,101 Group theory and generalizations (20-XX) 227 Combinatorics (05-XX) 199 Number theory (11-XX) 178 Linear and multilinear algebra; matrix theory (15-XX) 158 Algebraic geometry (14-XX) 152 Associative rings and algebras (16-XX) 88 Commutative algebra (13-XX) 72 Field theory and polynomials (12-XX) 50 Nonassociative rings and algebras (17-XX) 35 Manifolds and cell complexes (57-XX) 29 Geometry (51-XX) 29 Computer science (68-XX) 27 Topological groups, Lie groups (22-XX) 27 Information and communication theory, circuits (94-XX) 22 Operator theory (47-XX) 20 Probability theory and stochastic processes (60-XX) 19 Functions of a complex variable (30-XX) 19 Dynamical systems and ergodic theory (37-XX) 14 Functional analysis (46-XX) 13 Mathematical logic and foundations (03-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Category theory; homological algebra (18-XX) 12 Quantum theory (81-XX) 11 Algebraic topology (55-XX) 10 \(K\)-theory (19-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Systems theory; control (93-XX) 8 General algebraic systems (08-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Numerical analysis (65-XX) 6 Abstract harmonic analysis (43-XX) 6 Convex and discrete geometry (52-XX) 5 History and biography (01-XX) 5 Differential geometry (53-XX) 5 Operations research, mathematical programming (90-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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