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Guralnick, Robert Michael

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Author ID: guralnick.robert-m Recent zbMATH articles by "Guralnick, Robert Michael"
Published as: Guralnick, Robert M.; Guralnick, Robert; Guralnick, R. M.; Guralnick, R.
Homepage: https://dornsife.usc.edu/cf/faculty-and-staff/faculty.cfm?pid=1003312
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 262 Publications since 1977, including 2 Books
4 Contributions as Editor · 4 Further Contributions
Reviewing Activity: 68 Reviews
Biographic References: 1 Publication
Co-Authors: 155 Co-Authors with 213 Joint Publications
3,857 Co-Co-Authors
all top 5

Co-Authors

53 single-authored
24 Tiep Pham Huu
16 Saxl, Jan
11 Malle, Gunter
10 Fulman, Jason E.
7 Garibaldi, Skip
7 Kantor, William M.
7 Liebeck, Martin Walter
7 Navarro, Gabriel
7 Praeger, Cheryl Elisabeth
6 Estes, Dennis Ray
6 Magaard, Kay
6 Maróti, Attila
6 Shalev, Aner
6 Wiegand, Roger Allen
5 Burness, Timothy C.
5 Robinson, Geoffrey Raymond
4 Aschbacher, Michael George
4 Harbater, David
4 Kassabov, Martin
4 Levy, Lawrence S.
4 Lubotzky, Alexander
4 Zieve, Michael E.
3 Bass, Hyman
3 Chinburg, Ted
3 Dolfi, Silvio
3 Herzig, Florian
3 Isaacs, I. Martin
3 Larsen, Michael Jeffrey
3 Lübeck, Frank
3 Miller, Michael D.
3 Montgomery, Susan
3 Schacher, Murray M.
3 Shumyatsky, Pavel
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 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 Tao, Terence
2 Testerman, Donna M.
2 Zel’manov, Efim Isaakovich
1 Acciarri, Cristina
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 Fried, Michael David
1 Frohardt, Dan
1 Gelaki, Shlomo
1 Gerhardt, Spencer
1 Glauberman, George
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, Stephen J.
1 Kleidman, Peter B.
1 Košir, Tomaž
...and 59 more Co-Authors
all top 5

Serials

53 Journal of Algebra
19 Linear Algebra and its Applications
16 Proceedings of the American Mathematical Society
10 Israel Journal of Mathematics
10 Transactions of the American Mathematical Society
9 Linear and Multilinear Algebra
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 Notices of the American Mathematical Society
2 Indagationes Mathematicae. 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 Irish Mathematical Society Bulletin
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 Journal of the Institute of Mathematics of Jussieu
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

Publications by Year

Citations contained in zbMATH Open

241 Publications have been cited 2,887 times in 1,818 Documents Cited by Year
Subgroups of prime power index in a simple group. Zbl 0515.20011
Guralnick, Robert M.
184
1983
Some applications of the first cohomology group. Zbl 0554.20017
Aschbacher, M.; Guralnick, R.
112
1984
Probabilistic generation of finite simple groups. Zbl 0973.20012
Guralnick, Robert M.; Kantor, William M.
86
2000
Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. Zbl 1256.20048
Fulman, Jason; Guralnick, Robert
66
2012
Generation of finite almost simple groups by conjugates. Zbl 1037.20016
Guralnick, Robert M.; Saxl, Jan
62
2003
Linear groups with orders having certain large prime divisors. Zbl 1041.20035
Guralnick, Robert; Penttila, Tim; Praeger, Cheryl E.; Saxl, Jan
58
1999
On the commuting probability in finite groups. Zbl 1100.20045
Guralnick, Robert M.; Robinson, Geoffrey R.
56
2006
A note on commuting pairs of matrices. Zbl 0754.15011
Guralnick, Robert M.
47
1992
Cross characteristic representations of symplectic and unitary groups. Zbl 1025.20002
Guralnick, Robert M.; Magaard, Kay; Saxl, Jan; Pham Huu Tiep
46
2002
On the minimal degree of a primitive permutation group. Zbl 0911.20003
Guralnick, Robert; Magaard, Kay
41
1998
On the automorphy of \(l\)-adic Galois representations with small residual image. With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne. Zbl 1269.11054
Thorne, Jack
39
2012
Cross characteristic representations of even characteristic symplectic groups. Zbl 1062.20013
Guralnick, Robert M.; Pham Huu Tiep
37
2004
Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements. Zbl 1018.17007
Etingof, Pavel; Soloviev, Alexander; Guralnick, Robert
36
2001
Schur covers and Carlitz’s conjecture. Zbl 0855.11063
Fried, Michael D.; Guralnick, Robert; Saxl, Jan
36
1993
Products of conjugacy classes and fixed point spaces. Zbl 1286.20007
Guralnick, Robert; Malle, Gunter
36
2012
Probabilistic generation of finite simple groups. II. Zbl 1181.20013
Breuer, Thomas; Guralnick, Robert M.; Kantor, William M.
35
2008
Module equivalences: Local to global. When primitive polynomials represent units. Zbl 0492.13005
Estes, Dennis R.; Guralnick, Robert M.
34
1982
Simple groups admit Beauville structures. Zbl 1255.20009
Guralnick, Robert; Malle, Gunter
29
2012
On base sizes for symmetric groups. Zbl 1222.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
27
2011
Finite simple unisingular groups of Lie type. Zbl 1046.20013
Guralnick, Robert M.; Pham Huu Tiep
26
2003
Commuting pairs and triples of matrices and related varieties. Zbl 0971.15007
Guralnick, Robert M.; Sethuraman, B. A.
25
2000
Finite groups of genus zero. Zbl 0713.20011
Guralnick, Robert M.; Thompson, John G.
25
1990
On Abelian quotients of primitive groups. Zbl 0679.20001
Aschbacher, Michael; Guralnick, Robert M.
24
1989
Derangements in simple and primitive groups. Zbl 1036.20002
Fulman, Jason; Guralnick, Robert
24
2003
Self-normalizing Sylow subgroups. Zbl 1049.20010
Guralnick, Robert M.; Malle, Gunter; Navarro, Gabriel
24
2004
On the number of generators of a finite group. Zbl 0675.20026
Guralnick, Robert M.
23
1989
The rational function analogue of a question of Schur and exceptionality of permutation representations. Zbl 1082.12004
Guralnick, Robert M.; Müller, Peter; Saxl, Jan
23
2003
On \(p\)-singular elements in Chevalley groups in characteristic \(p\). Zbl 1001.20045
Guralnick, Robert M.; Lübeck, Frank
22
2001
Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
22
2008
Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024
Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander
22
2007
Triangularization of sets of matrices. Zbl 0443.15006
Guralnick, Robert M.
21
1980
Subgroups inducing the same permutation representation. Zbl 0527.20005
Guralnick, Robert M.
20
1983
The probability of generating a classical group. Zbl 0820.20022
Guralnick, Robert M.; Kantor, William M.; Saxl, Jan
20
1994
Decompositions of small tensor powers and Larsen’s conjecture. Zbl 1109.20040
Guralnick, Robert M.; Tiep, Pham Huu
20
2005
Sets of elements that pairwise generate a linear group. Zbl 1140.05033
Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A.
20
2008
Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
20
2012
Roth’s theorems and decomposition of modules. Zbl 0468.16022
Guralnick, Robert M.
19
1981
Solvable generation of groups and Sylow subgroups of the lower central series. Zbl 0485.20012
Aschbacher, M.; Guralnick, R.
19
1982
The first cohomology group and generation of simple groups. Zbl 0894.20039
Guralnick, Robert M.; Hoffman, Corneliu
19
1998
Invertible preservers and algebraic groups. Zbl 0814.15002
Guralnick, Robert M.
19
1994
Generation of simple groups. Zbl 0601.20013
Guralnick, Robert M.
18
1986
Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058
Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P.
18
2010
Commutators and commutator subgroups. Zbl 0505.20022
Guralnick, Robert M.
18
1982
Modules for algebraic groups with finitely many orbits on subspaces. Zbl 0906.20029
Guralnick, Robert M.; Liebeck, Martin W.; Macpherson, Dugald; Seitz, Gary M.
18
1997
The non-coprime \(k(GV)\) problem. Zbl 1083.20006
Guralnick, Robert M.; Tiep, Pham Huu
18
2005
Alternating forms and self-adjoint operators. Zbl 1111.11022
Goldstein, Daniel; Guralnick, Robert M.
18
2007
Thompson-like characterizations of the solvable radical. Zbl 1118.20021
Guralnick, Robert; Kunyavskiĭ, Boris; Plotkin, Eugene; Shalev, Aner
18
2006
Derived subgroups of fixed points. Zbl 1050.20013
Guralnick, Robert; Shumyatsky, Pavel
17
2001
Expansion in finite simple groups of Lie type. Zbl 1331.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
17
2015
Symmetric powers and a problem of Kollár and Larsen. Zbl 1245.20058
Guralnick, Robert M.; Tiep, Pham Huu
17
2008
On fixed points of permutations. Zbl 1192.20001
Diaconis, Persi; Fulman, Jason; Guralnick, Robert
17
2008
Bounds for fixed point free elements in a transitive group and applications to curves over finite fields. Zbl 0910.11053
Guralnick, Robert; Wan, Daqing
16
1997
Small representations are completely reducible. Zbl 0941.20001
Guralnick, Robert M.
16
1999
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 1140.14026
Guralnick, Robert M.; Shareshian, John
16
2007
On base sizes for algebraic groups. Zbl 1445.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
16
2017
Derangements in subspace actions of finite classical groups. Zbl 1431.20033
Fulman, Jason; Guralnick, Robert
15
2017
Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
15
2014
Monodromy groups of polynomials. Zbl 0848.12002
Guralnick, Robert M.; Saxl, Jan
15
1995
Conjugacy class properties of the extension of \(\text{GL}(n,q)\) generated by the inverse transpose involution. Zbl 1065.20065
Fulman, Jason; Guralnick, Robert
15
2004
Exceptional covers and bijections on rational points. Zbl 1127.14023
Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E.
15
2007
Similarity of matrices over local rings. Zbl 0478.15017
Guralnick, Robert M.
14
1981
Normalizers of primitive permutation groups. Zbl 1414.20002
Guralnick, Robert M.; Maróti, Attila; Pyber, László
14
2017
On the spread of finite simple groups. Zbl 1027.20004
Guralnick, Robert M.; Shalev, Aner
14
2003
First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039
Guralnick, Robert M.; Tiep, Pham Huu
14
2011
Classification of \(2F\)-modules. II. Zbl 1085.20004
Guralnick, Robert M.; Malle, Gunter
14
2004
Characterizations of the solvable radical. Zbl 1202.20026
Flavell, Paul; Guest, Simon; Guralnick, Robert
14
2010
The genus of a module. II: Roiter’s theorem, power cancellation and extension of scalars. Zbl 0621.16007
Guralnick, Robert M.
13
1987
The probability of generating a finite soluble group. Zbl 1043.20047
Guralnick, R. M.; Wilson, J. S.
13
2000
Pseudosimilarity and cancellation of modules. Zbl 0493.15010
Guralnick, Robert; Lanski, Charles
13
1982
Matrix equivalence and isomorphism of modules. Zbl 0493.16015
Guralnick, Robert M.
13
1982
Average dimension of fixed point spaces with applications. Zbl 1211.20011
Guralnick, Robert M.; Maróti, Attila
13
2011
Rational rigidity for \(E_8(p)\). Zbl 1328.12007
Guralnick, Robert; Malle, Gunter
13
2014
Low-dimensional representations of special linear groups in cross characteristics. Zbl 0974.20014
Guralnick, Robert M.; Pham Huu Tiep
13
1999
Oort groups and lifting problems. Zbl 1158.12003
Chinburg, T.; Guralnick, R.; Harbater, D.
13
2008
The automorphism groups of a family of maximal curves. Zbl 1285.11094
Guralnick, Robert; Malmskog, Beth; Pries, Rachel
13
2012
Simple groups stabilizing polynomials. Zbl 1365.20046
Garibaldi, Skip; Guralnick, Robert M.
13
2015
Invertible preservers and algebraic groups. III: Preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups. Zbl 0889.20027
Guralnick, Robert M.; Li, Chi-Kwong
12
1997
Monodromy groups of coverings of curves. Zbl 1071.20001
Guralnick, Robert
12
2003
Monodromy groups of branched coverings: The generic case. Zbl 0845.20002
Guralnick, Robert M.; Neubauer, Michael G.
12
1995
On rational and concise words. Zbl 1346.20042
Guralnick, Robert; Shumyatsky, Pavel
12
2015
Roth’s theorems for sets of matrices. Zbl 0584.15006
Guralnick, Robert M.
11
1985
Polynomial rings over Goldie rings are often Goldie. Zbl 0608.16020
Camillo, Victor; Guralnick, Robert
11
1986
A note on pairs of matrices with rank one commutator. Zbl 0423.15005
Guralnick, Robert M.
11
1979
A note on the local-global principle for similarity of matrices. Zbl 0442.15009
Guralnick, Robert M.
11
1980
Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture. Zbl 06862789
Fulman, Jason; Guralnick, Robert
11
2018
Shirshov’s theorem and representations of semigroups. Special issue of the
Pacific Journal of Mathematics.
 Zbl 0915.20034
Freedman, A.; Gupta, R. N.; Guralnick, R. M.
11
1998
Some applications of subgroup structure to probabilistic generation and covers of curves. Zbl 0973.20011
Guralnick, Robert M.
11
1998
Lifting homomorphisms of modules. Zbl 0558.16003
Guralnick, Robert M.
11
1985
On extensions of the Baer-Suzuki theorem. Zbl 0794.20029
Guralnick, Robert M.; Robinson, Geoffrey R.
11
1993
Classification of \(2F\)-modules. I. Zbl 1017.20005
Guralnick, Robert M.; Malle, Gunter
11
2002
Exceptional polynomials of affine type. Zbl 0911.11049
Guralnick, Robert M.; Müller, Peter
11
1997
Presentations of finite simple groups: a computational approach. Zbl 1256.20008
Guralnick, 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 1193.16026
Guralnick, Robert; Montgomery, Susan
11
2009
Galois groups and the multiplicative structure of field extensions. Zbl 0753.12003
Guralnick, Robert; Wiegand, Roger
10
1992
Effective results on the Waring problem for finite simple groups. Zbl 1338.20009
Guralnick, Robert M.; Tiep, Pham Huu
10
2015
The local lifting problem for actions of finite groups on curves. (Problème local de relèvement de l’action d’un groupe fini sur une courbe.) Zbl 1239.14024
Chinburg, Ted; Guralnick, Robert; Harbater, David
10
2011
Cancellation and direct summands in dimension 1. Zbl 0745.16004
Guralnick, Robert M.; Levy, Lawrence S.
9
1991
Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037
Guralnick, Robert; Navarro, Gabriel
9
2016
The rank of a commutator. Zbl 0518.15005
Guralnick, Robert; Lanski, Charles
9
1983
Eigenvalues of symmetric matrices and graphs. Zbl 0826.15006
Bass, Hyman; Estes, Dennis R.; Guralnick, Robert M.
9
1994
The spread of a finite group. Zbl 1480.20081
Burness, Timothy; Guralnick, Robert; Harper, Scott
5
2021
Character levels and character bounds. Zbl 1481.20039
Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu
4
2020
Variants of some of the Brauer-Fowler theorems. Zbl 1464.20010
Guralnick, Robert M.; Robinson, Geoffrey R.
2
2020
Centers of Sylow subgroups and automorphisms. Zbl 1484.20038
Glauberman, George; Guralnick, Robert; Lynd, Justin; Navarro, Gabriel
2
2020
Topological generation of exceptional algebraic groups. Zbl 07202990
Burness, Timothy C.; Gerhardt, Spencer; Guralnick, Robert M.
1
2020
Sectional rank and cohomology. Zbl 1481.20191
Guralnick, Robert M.; Tiep, Pham Huu
1
2020
A note on abelian subgroups of maximal order. Zbl 1484.20041
Aivazidis, Stefanos; Guralnick, Robert M.
1
2020
Generically free representations. II: Irreducible representations. Zbl 1484.20076
Garibaldi, Skip; Guralnick, Robert M.
1
2020
Generically free representations. III: Extremely bad characteristic. Zbl 1484.20077
Garibaldi, Skip; Guralnick, Robert M.
1
2020
Generically free representations. I: Large representations. Zbl 07248667
Garibaldi, Skip; Guralnick, Robert
1
2020
On the generalized Fitting height and insoluble length of finite groups. Zbl 1485.20059
Guralnick, Robert M.; Tracey, Gareth
1
2020
Rigid local systems and alternating groups. Zbl 1454.11217
Guralnick, Robert; Katz, Nicholas; Tiep, Pham Huu
5
2019
Zero-one generation laws for finite simple groups. Zbl 07057701
Guralnick, Robert M.; Liebeck, Martin W.; Lübeck, Frank; Shalev, Aner
2
2019
Conjugacy classes, characters and products of elements. Zbl 1454.20009
Guralnick, Robert M.; Moretó, Alexander
2
2019
Permutation representations of nonsplit extensions involving alternating groups. Zbl 1454.20013
Guralnick, 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 06862789
Fulman, Jason; Guralnick, Robert
11
2018
Surjective word maps and Burnside’s \(p^aq^b\) theorem. Zbl 1397.20037
Guralnick, 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 1483.20029
Guralnick, Robert M.; Magaard, Kay; Tiep, Pham Huu
6
2018
Enumeration of commuting pairs in Lie algebras over finite fields. Zbl 1395.05190
Fulman, Jason; Guralnick, Robert
3
2018
On isometry groups of self-adjoint traceless and skew-symmetric matrices. Zbl 1380.15027
Gaál, Marcell; Guralnick, Robert M.
2
2018
On base sizes for algebraic groups. Zbl 1445.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
16
2017
Derangements in subspace actions of finite classical groups. Zbl 1431.20033
Fulman, Jason; Guralnick, Robert
15
2017
Normalizers of primitive permutation groups. Zbl 1414.20002
Guralnick, Robert M.; Maróti, Attila; Pyber, László
14
2017
Asymptotics of the number of involutions in finite classical groups. Zbl 1376.20055
Fulman, Jason; Guralnick, Robert; Stanton, Dennis
7
2017
Spinors and essential dimension. Zbl 06782033
Garibaldi, Skip; Guralnick, Robert M.
7
2017
Adequate subgroups and indecomposable modules. Zbl 1460.20003
Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu
5
2017
Endomorphism fields of abelian varieties. Zbl 1441.11154
Guralnick, Robert; Kedlaya, Kiran S.
3
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 1372.20002
3
2017
Global Oort groups. Zbl 1406.20007
Chinburg, Ted; Guralnick, Robert; Harbater, David
2
2017
A lower bound for the dimension of a highest weight module. Zbl 1429.17010
Goldstein, Daniel; Guralnick, Robert; Stong, Richard
1
2017
Globally irreducible Weyl modules. Zbl 1427.20062
Garibaldi, Skip; Guralnick, Robert M.; Nakano, Daniel K.
1
2017
Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037
Guralnick, Robert; Navarro, Gabriel
9
2016
Essential dimension of algebraic groups, including bad characteristic. Zbl 1369.11029
Garibaldi, Skip; Guralnick, Robert M.
6
2016
Conjugacy classes of derangements in finite transitive groups. Zbl 1353.20001
Guralnick, Robert M.
1
2016
Finite groups with odd Sylow normalizers. Zbl 1361.20018
Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu
1
2016
On the maximal number of coprime subdegrees in finite primitive permutation groups. Zbl 1398.20004
Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo
1
2016
Expansion in finite simple groups of Lie type. Zbl 1331.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
17
2015
Simple groups stabilizing polynomials. Zbl 1365.20046
Garibaldi, Skip; Guralnick, Robert M.
13
2015
On rational and concise words. Zbl 1346.20042
Guralnick, Robert; Shumyatsky, Pavel
12
2015
Effective results on the Waring problem for finite simple groups. Zbl 1338.20009
Guralnick, Robert M.; Tiep, Pham Huu
10
2015
Lifting in Frattini covers and a characterization of finite solvable groups. Zbl 1343.20022
Guralnick, Robert M.; Tiep, Pham Huu
7
2015
Adequate groups of low degree. Zbl 1365.20008
Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu
5
2015
Products and commutators of classes in algebraic groups. Zbl 1329.20061
Guralnick, Robert; Malle, Gunter
4
2015
Variations on the Baer-Suzuki theorem. Zbl 1321.20018
Guralnick, Robert; Malle, Gunter
4
2015
On a relation between the rank and the proportion of derangements in finite transitive permutation groups. Zbl 1323.20003
Guralnick, R.; Isaacs, I. M.; Spiga, P.
3
2015
Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
15
2014
Rational rigidity for \(E_8(p)\). Zbl 1328.12007
Guralnick, Robert; Malle, Gunter
13
2014
Cosets of Sylow \(p\)-subgroups and a question of Richard Taylor. Zbl 1300.20026
Goldstein, Daniel; Guralnick, Robert
5
2014
Applications of the classification of finite simple groups. Zbl 1373.20014
Guralnick, Robert
2
2014
Groups with exactly one irreducible character of degree divisible by \(p\). Zbl 1302.20010
Goldstein, Daniel; Guralnick, Robert; Lewis, Mark; Moretó, Alexander; Navarro, Gabriel; Tiep, Pham Huu
2
2014
Products of conjugacy classes in finite and algebraic simple groups. Zbl 1277.20029
Guralnick, Robert M.; Malle, Gunter; Tiep, Pham Huu
9
2013
Coprime subdegrees for primitive permutation groups and completely reducible linear groups. Zbl 1287.20005
Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo
8
2013
The number of regular semisimple conjugacy classes in the finite classical groups. Zbl 1295.20048
Fulman, Jason; Guralnick, Robert
6
2013
On the non-coprime \(k(GV)\)-problem. Zbl 1295.20008
Guralnick, Robert M.; Maróti, Attila
1
2013
Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. Zbl 1256.20048
Fulman, Jason; Guralnick, Robert
66
2012
On the automorphy of \(l\)-adic Galois representations with small residual image. With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne. Zbl 1269.11054
Thorne, Jack
39
2012
Products of conjugacy classes and fixed point spaces. Zbl 1286.20007
Guralnick, Robert; Malle, Gunter
36
2012
Simple groups admit Beauville structures. Zbl 1255.20009
Guralnick, Robert; Malle, Gunter
29
2012
Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
20
2012
The automorphism groups of a family of maximal curves. Zbl 1285.11094
Guralnick, Robert; Malmskog, Beth; Pries, Rachel
13
2012
Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007
Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu
9
2012
A new solvability criterion for finite groups. Zbl 1246.20015
Dolfi, Silvio; Guralnick, Robert M.; Herzog, Marcel; Praeger, Cheryl E.
9
2012
Low degree representations of simple Lie groups. Zbl 1247.22006
Guralnick, Robert; Larsen, Michael; Manack, Corey
5
2012
A problem of Kollár and Larsen on finite linear groups and crepant resolutions. Zbl 1257.14013
Guralnick, Robert M.; Pham Huu Tiep
4
2012
Adequate subgroups. II. Zbl 1309.11048
Guralnick, Robert
4
2012
Characteristic polynomials and fixed spaces of semisimple elements. Zbl 1320.20042
Guralnick, Robert; Malle, Gunter
2
2012
Certain subgroups of Weyl groups are split. Zbl 1258.20007
Goldstein, Daniel; Guralnick, Robert M.
1
2012
On base sizes for symmetric groups. Zbl 1222.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
27
2011
First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039
Guralnick, Robert M.; Tiep, Pham Huu
14
2011
Average dimension of fixed point spaces with applications. Zbl 1211.20011
Guralnick, Robert M.; Maróti, Attila
13
2011
Presentations of finite simple groups: a computational approach. Zbl 1256.20008
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
11
2011
The local lifting problem for actions of finite groups on curves. (Problème local de relèvement de l’action d’un groupe fini sur une courbe.) Zbl 1239.14024
Chinburg, Ted; Guralnick, Robert; Harbater, David
10
2011
Real class sizes and real character degrees. Zbl 1210.20010
Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu
9
2011
On a subfactor generalization of Wall’s conjecture. Zbl 1253.46068
Guralnick, Robert; Xu, Feng
7
2011
Corrigendum to “Sets of elements that pairwise generate a linear group” [J. Comb. Theory, Ser. A 115, No. 3, 442–465 (2008)]. Zbl 1223.05111
Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A.
2
2011
Frobenius subgroups of free profinite products. Zbl 1228.20025
Guralnick, Robert M.; Haran, Dan
2
2011
Remarks on proficient groups. Zbl 1239.20037
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
1
2011
Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058
Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P.
18
2010
Characterizations of the solvable radical. Zbl 1202.20026
Flavell, Paul; Guest, Simon; Guralnick, Robert
14
2010
Polynomials with \(\text{PSL}(2)\) monodromy. Zbl 1214.12003
Guralnick, Robert M.; Zieve, Michael E.
8
2010
A new family of exceptional polynomials in characteristic two. Zbl 1214.12002
Guralnick, Robert M.; Rosenberg, Joel; Zieve, Michael E.
8
2010
Commutators and wreath products. Zbl 1214.20037
Guralnick, Robert M.
3
2010
Automorphic realization of residual Galois representations. Zbl 1257.11051
Guralnick, Robert; Harris, Michael; Katz, Nicholas M.
2
2010
Nil subrings of endomorphism rings of finitely generated modules over affine PI-rings. Zbl 1218.16014
Guralnick, Robert M.; Small, Lance W.; Zelmanov, Efim
1
2010
Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups. Zbl 1193.16026
Guralnick, Robert; Montgomery, Susan
11
2009
Probabilistic generation of finite simple groups. II. Zbl 1181.20013
Breuer, Thomas; Guralnick, Robert M.; Kantor, William M.
35
2008
Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
22
2008
Sets of elements that pairwise generate a linear group. Zbl 1140.05033
Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A.
20
2008
Symmetric powers and a problem of Kollár and Larsen. Zbl 1245.20058
Guralnick, Robert M.; Tiep, Pham Huu
17
2008
On fixed points of permutations. Zbl 1192.20001
Diaconis, Persi; Fulman, Jason; Guralnick, Robert
17
2008
Oort groups and lifting problems. Zbl 1158.12003
Chinburg, T.; Guralnick, R.; Harbater, D.
13
2008
Addendum to paper “On the commuting probability in finite groups”. Zbl 1176.20067
Guralnick, R. M.; Robinson, G. R.
3
2008
Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020
Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E.
2
2008
Frobenius groups as monodromy groups. Zbl 1195.14040
Guralnick, Robert M.
2
2008
Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024
Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander
22
2007
Alternating forms and self-adjoint operators. Zbl 1111.11022
Goldstein, Daniel; Guralnick, Robert M.
18
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 1140.14026
Guralnick, Robert M.; Shareshian, John
16
2007
Exceptional covers and bijections on rational points. Zbl 1127.14023
Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E.
15
2007
Intersections of conjugacy classes and subgroups of algebraic groups. Zbl 1112.20040
Guralnick, Robert M.
7
2007
The 2F-modules for nearly simple groups. Zbl 1115.20002
Guralnick, Robert M.; Lawther, Ross; Malle, Gunter
7
2007
...and 141 more Documents
all top 5

Cited by 1,637 Authors

132 Guralnick, Robert Michael
67 Tiep Pham Huu
62 Lucchini, Andrea
45 Shumyatsky, Pavel
37 Shalev, Aner
34 Praeger, Cheryl Elisabeth
32 Spiga, Pablo
30 Burness, Timothy C.
30 Li, Caiheng
27 Liebeck, Martin Walter
27 Maróti, Attila
25 Navarro, Gabriel
19 Magaard, Kay
18 Saxl, Jan
17 Morigi, Marta
17 Zalesski, Alexandre Efimovich
16 Detomi, Eloisa
16 Giudici, Michael
16 Tong-Viet, Hung P.
16 Yang, Yong
15 O’Brien, Eamonn A.
14 Kantor, William M.
13 Larsen, Michael Jeffrey
13 Moretó, Alexander
12 Fulman, Jason E.
12 Kunyavskiĭ, Boris Èmmanuilovich
12 Malle, Gunter
12 Pellegrini, Marco Antonio
11 Li, Chi-Kwong
11 Li, Xianhua
11 Lubotzky, Alexander
11 Pyber, László
10 Acciarri, Cristina
10 Cameron, Peter Jephson
10 Chen, Huanyin
10 Katz, Nicholas Michael
10 Nguyen Ngoc Hung
10 Radjavi, Heydar
10 Tyutyanov, Valentin Nikolaevich
9 Garonzi, Martino
9 Gordeev, Nikolai L.
9 Guest, Simon D.
8 Aschbacher, Michael George
8 Beltrán, Antonio Felip
8 Crestani, Eleonora
8 Garibaldi, Skip
8 Kamornikov, Sergey Fedorovich
8 Wiegand, Roger Allen
8 Xia, Binzhou
7 Fang, Xingui
7 Grechkoseeva, Mariya Aleksandrovna
7 Halasi, Zoltán
7 Harper, Scott
7 Kassabov, Martin
7 Keller, Thomas Michael
7 Kondrat’ev, Anatoliĭ Semenovich
7 Laffey, Thomas J.
7 Roney-Dougal, Colva M.
7 Schaeffer Fry, Amanda A.
7 Scott, Leonard L.
7 Šivic, Klemen
7 Vinroot, C. Ryan
7 Wang, Qingwen
6 Abdollahi, Alireza
6 Ballester-Bolinches, Adolfo
6 Bartoli, Daniele
6 Bonatto, Marco
6 Brooksbank, Peter A.
6 Di Martino, Lino
6 Diaconis, Persi Warren
6 Isaacs, I. Martin
6 Khukhro, Evgeniĭ I.
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 Moscatiello, Mariapia
6 Müller, Peter
6 Nath, Rajat Kanti
6 O’Meara, Kevin C.
6 Pan, Jiangmin
6 Qian, Guohua
6 Röhrle, Gerhard E.
6 Stellmacher, Bernd
6 Zhang, Cui
6 Zieve, Michael E.
5 Abhyankar, Shreeram Shankar
5 Andrade Martins, Enide
5 Baumeister, Barbara
5 Caranti, Andrea
5 Dalla Volta, Francesca
5 Damian, Erika
5 Du, Shaofei
5 Feng, Yanquan
5 Garion, Shelly
5 Gavioli, Norberto
...and 1,537 more Authors
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Cited in 246 Serials

329 Journal of Algebra
121 Communications in Algebra
101 Linear Algebra and its Applications
72 Transactions of the American Mathematical Society
71 Israel Journal of Mathematics
52 Journal of Group Theory
49 Journal of Pure and Applied Algebra
47 Proceedings of the American Mathematical Society
42 Archiv der Mathematik
32 Advances in Mathematics
32 Finite Fields and their Applications
27 Discrete Mathematics
24 Journal of Algebra and its Applications
23 Journal of Algebraic Combinatorics
22 Journal of Combinatorial Theory. Series A
21 Bulletin of the Australian Mathematical Society
21 Linear and Multilinear Algebra
20 Journal of Number Theory
19 Monatshefte für Mathematik
17 Mathematische Zeitschrift
17 Journal of the Australian Mathematical Society
14 Inventiones Mathematicae
14 Siberian Mathematical Journal
13 International Journal of Algebra and Computation
12 European Journal of Combinatorics
12 Forum of Mathematics, Sigma
11 Duke Mathematical Journal
11 Algebra Colloquium
11 Journal of Mathematical Sciences (New York)
10 Rocky Mountain Journal of Mathematics
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Glasgow Mathematical Journal
10 Memoirs of the American Mathematical Society
10 Proceedings of the Steklov Institute of Mathematics
10 Groups, Geometry, and Dynamics
9 Transformation Groups
9 Algebras and Representation Theory
9 Annals of Mathematics. Second Series
8 Algebra and Logic
8 Mathematische Annalen
8 Forum Mathematicum
8 Designs, Codes and Cryptography
8 Bulletin of the American Mathematical Society. New Series
8 International Journal of Group Theory
7 Mathematical Notes
7 Science China. Mathematics
6 Journal für die Reine und Angewandte Mathematik
6 Manuscripta Mathematica
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Journal of the European Mathematical Society (JEMS)
5 Annales de l’Institut Fourier
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 Indagationes Mathematicae. New Series
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Bulletin of the Brazilian Mathematical Society. New Series
5 Ars Mathematica Contemporanea
5 Algebraic Combinatorics
4 Ukrainian Mathematical Journal
4 Applied Mathematics and Computation
4 Czechoslovak Mathematical Journal
4 Geometriae Dedicata
4 Journal of Soviet Mathematics
4 Nagoya Mathematical Journal
4 Quaestiones Mathematicae
4 Results in Mathematics
4 Combinatorica
4 Journal of the American Mathematical Society
4 Geometric and Functional Analysis. GAFA
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Journal of Knot Theory and its Ramifications
4 The Electronic Journal of Combinatorics
4 Acta Mathematica Sinica. English Series
4 Problemy Fiziki, Matematiki i Tekhniki
4 Forum of Mathematics, Pi
3 Communications in Mathematical Physics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Beiträge zur Algebra und Geometrie
3 Compositio Mathematica
3 Journal of the Mathematical Society of Japan
3 The Journal of Symbolic Logic
3 Michigan Mathematical Journal
3 Pacific Journal of Mathematics
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Ricerche di Matematica
3 Topology and its Applications
3 Acta Mathematica Hungarica
3 Acta Applicandae Mathematicae
3 Graphs and Combinatorics
3 Science in China. Series A
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Expositiones Mathematicae
3 Combinatorics, Probability and Computing
3 St. Petersburg Mathematical Journal
3 Representation Theory
3 Annals of Combinatorics
3 LMS Journal of Computation and Mathematics
...and 146 more Serials
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Cited in 53 Fields

1,214 Group theory and generalizations (20-XX)
260 Combinatorics (05-XX)
220 Number theory (11-XX)
187 Linear and multilinear algebra; matrix theory (15-XX)
174 Algebraic geometry (14-XX)
162 Associative rings and algebras (16-XX)
95 Commutative algebra (13-XX)
75 Field theory and polynomials (12-XX)
49 Nonassociative rings and algebras (17-XX)
35 Manifolds and cell complexes (57-XX)
34 Topological groups, Lie groups (22-XX)
30 Geometry (51-XX)
29 Computer science (68-XX)
27 Information and communication theory, circuits (94-XX)
23 Probability theory and stochastic processes (60-XX)
21 Operator theory (47-XX)
20 Functions of a complex variable (30-XX)
19 Dynamical systems and ergodic theory (37-XX)
15 Functional analysis (46-XX)
13 Several complex variables and analytic spaces (32-XX)
13 Algebraic topology (55-XX)
12 Mathematical logic and foundations (03-XX)
12 Category theory; homological algebra (18-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
11 \(K\)-theory (19-XX)
11 Quantum theory (81-XX)
9 General algebraic systems (08-XX)
9 Systems theory; control (93-XX)
8 Convex and discrete geometry (52-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Numerical analysis (65-XX)
6 History and biography (01-XX)
6 Abstract harmonic analysis (43-XX)
5 Differential geometry (53-XX)
5 Operations research, mathematical programming (90-XX)
4 General and overarching topics; collections (00-XX)
4 Calculus of variations and optimal control; optimization (49-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 Real functions (26-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 Harmonic analysis on Euclidean spaces (42-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

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