Edit Profile (opens in new tab) Nebe, Gabriele Compute Distance To: Compute Author ID: nebe.gabriele Published as: Nebe, Gabriele; Nebe, G. Homepage: http://www.math.rwth-aachen.de/~Gabriele.Nebe/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 107 Publications since 1993, including 4 Books 4 Contributions as Editor · 2 Further Contributions Reviewing Activity: 82 Reviews Co-Authors: 57 Co-Authors with 72 Joint Publications 1,232 Co-Co-Authors all top 5 Co-Authors 39 single-authored 11 Venkov, Boris B. 7 Bachoc, Christine 6 Coulangeon, Renaud 6 Rains, Eric M. 5 Sloane, Neil James Alexander 4 Hentschel, Michael 3 Günther, Annika 3 Hu, Sihuang 3 Kirschmer, Markus 3 Koch, Helmut 3 Krieg, Aloys 3 Plesken, Wilhelm 2 Bayer-Fluckiger, Eva 2 Borello, Martino 2 Braun, Oliver 2 Cohen, Arjeh Marcel 2 Gross, Benedict Hyman 2 Liebhold, Dirk 1 Abramenko, Peter 1 Agricola, Ilka 1 Böcherer, Siegfried 1 Bracken, Carl 1 Byrne, Eimear 1 Chisholm, Sarah 1 Dalla Volta, Francesca 1 de Oliveira Filho, Fernando Mário 1 Deines-Schartz, Alyson 1 Eisenbarth, Simon 1 Feaver, Amy 1 Feulner, Thomas 1 Gohlisch, Claudia 1 Götze, Friedrich 1 Grötschel, Martin 1 Haensch, Anna 1 Henn, Andreas 1 Hertweck, Martin 1 Hulek, Klaus 1 Jespers, Eric 1 Kimmerle, Wolfgang 1 Künzer, Matthias 1 Liu, Jingbo 1 Long, Ling 1 Marciniak, Zbigniew S. 1 McGuire, Gary 1 Michor, Peter Wolfram 1 Munemasa, Akihiro 1 Nossek, Elisabeth 1 Pellarin, Federico 1 Prömel, Hans Jürgen 1 Quebbemann, Heinz-Georg 1 Rees, Sarah 1 Schäfer, Artur 1 Schindelar, Kristina 1 Schönnenbeck, Sebastian 1 Solé, Patrick 1 Steel, Allan K. 1 Swisher, Holly 1 Teider, Maria 1 Vallentin, Frank 1 Vázquez-Castro, Ángeles 1 Villar, Darwin 1 Vygen, Jens 1 Willems, Wolfgang 1 Woeginger, Gerhard Johannes 1 Xing, Chaoping all top 5 Serials 9 Journal of Algebra 7 Journal of Number Theory 6 Journal de Théorie des Nombres de Bordeaux 4 Archiv der Mathematik 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Nachrichten 4 Experimental Mathematics 4 International Journal of Number Theory 3 Communications in Algebra 3 Designs, Codes and Cryptography 3 L’Enseignement Mathématique. 2e Série 3 Finite Fields and their Applications 3 Oberwolfach Reports 3 Advances in Mathematics of Communications 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematics of Computation 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 European Journal of Combinatorics 2 Journal of Group Theory 2 Aachener Beiträge zur Mathematik 2 Albanian Journal of Mathematics 1 Discrete Mathematics 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Beiträge zur Algebra und Geometrie 1 Acta Arithmetica 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Journal of Algebraic Combinatorics 1 St. Petersburg Mathematical Journal 1 Kyushu Journal of Mathematics 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Representation Theory 1 Algebras and Representation Theory 1 Algebra and Discrete Mathematics 1 Algorithms and Computation in Mathematics 1 Mathematics in Computer Science 1 International Journal of Combinatorics 1 Mathematics all top 5 Fields 79 Number theory (11-XX) 40 Group theory and generalizations (20-XX) 30 Information and communication theory, circuits (94-XX) 15 Associative rings and algebras (16-XX) 11 Combinatorics (05-XX) 5 General and overarching topics; collections (00-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 521 times in 376 Documents Cited by ▼ Year ▼ Self-dual codes and invariant theory. Zbl 1173.94447Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 41 2006 The invariants of the Clifford groups. Zbl 1002.11057Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 24 2001 Automorphism groups of Gabidulin-like codes. Zbl 1348.94086Liebhold, Dirk; Nebe, Gabriele 22 2016 Finite rational matrix groups. Zbl 0837.20056Nebe, G.; Plesken, W. 21 1995 On the Euclidean minimum of some real number fields. Zbl 1161.11032Bayer-Fluckiger, Eva; Nebe, Gabriele 20 2005 Designs in Grassmannian spaces and lattices. Zbl 1035.05027Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele 19 2002 Finite quaternionic matrix groups. Zbl 0901.20035Nebe, Gabriele 18 1998 Some cyclo-quaternionic lattices. Zbl 0897.11022Nebe, Gabriele 14 1998 Lower bounds for measurable chromatic numbers. Zbl 1214.05022Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank 14 2009 An even unimodular 72-dimensional lattice of minimum 8. Zbl 1270.11066Nebe, Gabriele 13 2012 Lattice chain models for affine buildings of classical type. Zbl 1113.20028Abramenko, Peter; Nebe, Gabriele 12 2002 Finite subgroups of \(\text{GL}_ n(\mathbb{Q})\) for \(25\leq n\leq 31\). Zbl 0856.20031Nebe, Gabriele 11 1996 The strongly perfect lattices of dimension 10. Zbl 0997.11049Nebe, Gabriele; Venkov, Boris 10 2000 Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021Bachoc, Christine; Nebe, Gabriele 10 1997 Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Computing in arithmetic groups with Voronoï’s algorithm. Zbl 1323.16014Braun, Oliver; Coulangeon, Renaud; Nebe, Gabriele; Schönnenbeck, Sebastian 9 2015 On tight spherical designs. Zbl 1271.05021Nebe, G.; Venkov, B. 9 2013 On Siegel modular forms of weight 12. Zbl 0997.11039Nebe, Gabriele; Venkov, Boris 8 2001 Codes and invariant theory. Zbl 1077.94024Nebe, G.; Rains, E. M.; Sloane, N. J. A. 8 2004 The root lattices of the complex reflection groups. Zbl 0930.20048Nebe, Gabriele 8 1999 Automorphisms of doubly even self-dual binary codes. Zbl 1184.94267Günther, Annika; Nebe, Gabriele 8 2009 On the equivalence of quadratic APN functions. Zbl 1250.11101Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele 8 2011 On self-dual MRD codes. Zbl 1348.94100Nebe, Gabriele; Willems, Wolfgang 7 2016 Orthogonal representations of finite groups and group rings. (Orthogonale Darstellungen endlicher Gruppen und Gruppenringe.) Zbl 1052.20005Nebe, Gabriele 7 1999 Maximal integral forms of the algebraic group \(G_2\) defined by finite subgroups. Zbl 0920.11021Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 7 1998 Kneser-Hecke-operators in coding theory. Zbl 1122.94053Nebe, G. 7 2006 Unimodular lattices with long shadow. Zbl 1081.11049Nebe, Gabriele; Venkov, Boris 7 2003 On automorphisms of extremal even unimodular lattices. Zbl 1282.11075Nebe, Gabriele 6 2013 Globally maximal arithmetic groups. Zbl 1113.20040Gross, Benedict H.; Nebe, Gabriele 6 2004 Low-dimensional strongly perfect lattices. I: The 12-dimensional case. Zbl 1124.11031Nebe, Gabriele; Venkov, Boris 6 2005 Network coding with flags. Zbl 1412.94254Liebhold, Dirk; Nebe, Gabriele; Vazquez-Castro, Angeles 6 2018 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 6 2013 Orthogonal Frobenius reciprocity. Zbl 0954.20005Nebe, Gabriele 5 2000 Finite subgroups of \(\text{GL}_{24}(\mathbb{Q})\). Zbl 0870.20029Nebe, Gabriele 5 1996 On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 5 2010 Hermitian modular forms congruent to 1 modulo \(p\). Zbl 1213.11107Hentschel, Michael; Nebe, Gabriele 5 2009 Recognition of division algebras. Zbl 1184.16054Nebe, Gabriele; Steel, Allan 5 2009 Mini-workshop: Arithmetic of group rings. Abstracts from the mini-workshop held November 25 – December 1, 2007. (Mini-workshop: Arithmetik von Gruppenringen.) Zbl 1177.16002 5 2007 Odd unimodular lattices of minimum 4. Zbl 0998.11034Bachoc, Christine; Nebe, Gabriele; Venkov, Boris 5 2002 The automorphism group of an extremal \([72, 36, 16]\) code does not contain \(Z_7\), \(Z_3\times Z_3\), or \(D_{10}\). Zbl 1364.94676Feulner, Thomas; Nebe, Gabriele 5 2012 The normaliser action and strongly modular lattices. Zbl 0898.11026Nebe, Gabriele 4 1997 Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043Bachoc, Christine; Nebe, Gabriele 4 1998 Finite rational matrix groups of degree \(24\). (Endliche rationale Matrixgruppen vom Grad \(24\).) Zbl 0837.20057Nebe, Gabriele 4 1995 An extremal \([72,36,16]\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\). Zbl 1258.94045Nebe, Gabriele 4 2012 On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 4 2012 Elementary divisors of Gram matrices of certain Specht modules. Zbl 1062.20012Künzer, M.; Nebe, G. 4 2003 A simple construction for the Barnes-Wall lattices. Zbl 1039.94532Nebe, G.; Rains, E. M.; Sloane, N. J. A. 4 2002 Boris Venkov’s theory of lattices and spherical designs. Zbl 1298.11002Nebe, Gabriele 4 2013 A fourth extremal even unimodular lattice of dimension 48. Zbl 1319.11042Nebe, Gabriele 4 2014 Nonexistence of extremal lattices in certain genera of modular lattices. Zbl 0863.11041Nebe, Gabriele; Venkov, Boris B. 3 1996 Über gerade unimodulare Gitter der Dimension 32. III. Mit einem Anhang von Gabriele Nebe: Die Funktion \(g^ A\) für einige Gitter mit Nachbardefekt 8. (On even unimodular lattices of dimension 32. III. With an appendix by Gabriele Nebe: The function \(g^ A\) for some lattices with neighbour defect 8). Zbl 0736.11022Koch, Helmut; Venkov, Boris B. 3 1991 Invariants of orthogonal \(G\)-modules from the character table. Zbl 0978.20004Nebe, Gabriele 3 2000 On the radical idealizer chain of symmetric orders. Zbl 1068.16018Nebe, Gabriele 3 2005 The automorphism group of a self-dual \([72, 36, 16]\) code does not contain \(\mathcal S_3\), \(\mathcal A_4\) or \(D_8\). Zbl 1283.94108Borello, Martino; Volta, Francesca Dalla; Nebe, Gabriele 3 2013 Lattices and modular forms. (Gitter und Modulformen.) Zbl 1160.11334Nebe, Gabriele 3 2002 On theta series attached to maximal lattices and their adjoints. Zbl 1225.11048Böcherer, Siegfried; Nebe, Gabriele 3 2010 Automorphisms of extremal unimodular lattices in dimension 72. Zbl 1387.11037Nebe, Gabriele 3 2016 One class genera of lattice chains over number fields. Zbl 1425.11065Kirschmer, Markus; Nebe, Gabriele 2 2017 Cayley orders. Zbl 0856.20030Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 2 1996 Low-dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14. Zbl 1219.11103Nebe, Gabriele; Venkov, Boris 2 2010 The principal block of \(\mathbb{Z}_pS_{2p}\). Zbl 1065.20016Nebe, Gabriele 2 2002 Maximal finite subgroups and minimal classes. Zbl 1325.16014Coulangeon, Renaud; Nebe, Gabriele 2 2014 Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. Zbl 1271.11069Nebe, Gabriele; Nossek, Elisabeth; Venkov, Boris 2 2013 Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050Bachoc, Christine; Nebe, Gabriele 2 2002 On extremal quasi-modular forms after Kaneko and Koike. Zbl 1470.11075Pellarin, Federico; Nebe, Gabriele 2 2020 \(s\)-extremal strongly modular lattices. Zbl 1196.11097Nebe, Gabriele; Schindelar, Kristina 2 2007 On involutions in extremal self-dual codes and the dual distance of semi self-dual codes. Zbl 1368.94156Borello, Martino; Nebe, Gabriele 2 2015 Quaternary quadratic lattices over number fields. Zbl 1439.11107Kirschmer, Markus; Nebe, Gabriele 1 2019 Strongly modular lattices with long shadow. Zbl 1078.11047Nebe, Gabriele 1 2004 Construction and investigation of lattices with matrix groups. Zbl 0970.11025Nebe, Gabriele 1 1999 The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd. Zbl 1043.20008Nebe, Gabriele 1 2000 The group ring of \(\text{SL}_2(2^f)\) over 2-adic integers. Zbl 1043.20009Nebe, Gabriele 1 2000 Extremal even unimodular lattices of rank 32 and related codes. Zbl 0793.11012Koch, Helmut; Nebe, Gabriele 1 1993 On the cokernel of the Witt decomposition map. Zbl 0993.11020Nebe, Gabriele 1 2000 On group ring automorphisms. Zbl 1054.20002Hertweck, Martin; Nebe, Gabriele 1 2004 Hecke actions on certain strongly modular genera of lattices. Zbl 1192.11026Nebe, Gabriele; Teider, Maria 1 2005 The group ring of \(\text{SL}_2(p^2)\) over the \(p\)-adic integers. Zbl 0923.20003Nebe, Gabriele 1 1998 A Gilbert-Varshamov type bound for Euclidean packings. Zbl 1211.11083Nebe, Gabriele; Xing, Chaoping 1 2008 Finite Weil representations and associated Hecke algebras. Zbl 1247.11061Nebe, Gabriele 1 2009 On lattices whose minimal vectors form a 6-design. Zbl 1172.05010Nebe, Gabriele; Venkov, Boris 1 2009 Clifford-Weil groups of quotient representations. Zbl 1210.94111Günther, Annika; Nebe, Gabriele; Rains, Eric M. 1 2008 Clifford-Weil groups for finite group rings, some examples. Zbl 1210.94110Günther, Annika; Nebe, Gabriele 1 2008 On extremal self-dual ternary codes of length 48. Zbl 1251.94046Nebe, Gabriele 1 2012 A nilpotent non abelian group code. Zbl 1354.94069Nebe, Gabriele; Schäfer, Artur 1 2014 Dense lattices as Hermitian tensor products. Zbl 1298.11063Coulangeon, Renaud; Nebe, Gabriele 1 2013 Slopes of Euclidean lattices, tensor product and group actions. Zbl 1451.11064Coulangeon, Renaud; Nebe, Gabriele 1 2020 Automorphisms of modular lattices. Zbl 1469.11227Nebe, Gabriele 1 2021 Automorphisms of modular lattices. Zbl 1469.11227Nebe, Gabriele 1 2021 On extremal quasi-modular forms after Kaneko and Koike. Zbl 1470.11075Pellarin, Federico; Nebe, Gabriele 2 2020 Slopes of Euclidean lattices, tensor product and group actions. Zbl 1451.11064Coulangeon, Renaud; Nebe, Gabriele 1 2020 Quaternary quadratic lattices over number fields. Zbl 1439.11107Kirschmer, Markus; Nebe, Gabriele 1 2019 Network coding with flags. Zbl 1412.94254Liebhold, Dirk; Nebe, Gabriele; Vazquez-Castro, Angeles 6 2018 One class genera of lattice chains over number fields. Zbl 1425.11065Kirschmer, Markus; Nebe, Gabriele 2 2017 Automorphism groups of Gabidulin-like codes. Zbl 1348.94086Liebhold, Dirk; Nebe, Gabriele 22 2016 On self-dual MRD codes. Zbl 1348.94100Nebe, Gabriele; Willems, Wolfgang 7 2016 Automorphisms of extremal unimodular lattices in dimension 72. Zbl 1387.11037Nebe, Gabriele 3 2016 Computing in arithmetic groups with Voronoï’s algorithm. Zbl 1323.16014Braun, Oliver; Coulangeon, Renaud; Nebe, Gabriele; Schönnenbeck, Sebastian 9 2015 On involutions in extremal self-dual codes and the dual distance of semi self-dual codes. Zbl 1368.94156Borello, Martino; Nebe, Gabriele 2 2015 A fourth extremal even unimodular lattice of dimension 48. Zbl 1319.11042Nebe, Gabriele 4 2014 Maximal finite subgroups and minimal classes. Zbl 1325.16014Coulangeon, Renaud; Nebe, Gabriele 2 2014 A nilpotent non abelian group code. Zbl 1354.94069Nebe, Gabriele; Schäfer, Artur 1 2014 On tight spherical designs. Zbl 1271.05021Nebe, G.; Venkov, B. 9 2013 On automorphisms of extremal even unimodular lattices. Zbl 1282.11075Nebe, Gabriele 6 2013 \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly 6 2013 Boris Venkov’s theory of lattices and spherical designs. Zbl 1298.11002Nebe, Gabriele 4 2013 The automorphism group of a self-dual \([72, 36, 16]\) code does not contain \(\mathcal S_3\), \(\mathcal A_4\) or \(D_8\). Zbl 1283.94108Borello, Martino; Volta, Francesca Dalla; Nebe, Gabriele 3 2013 Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. Zbl 1271.11069Nebe, Gabriele; Nossek, Elisabeth; Venkov, Boris 2 2013 Dense lattices as Hermitian tensor products. Zbl 1298.11063Coulangeon, Renaud; Nebe, Gabriele 1 2013 An even unimodular 72-dimensional lattice of minimum 8. Zbl 1270.11066Nebe, Gabriele 13 2012 The automorphism group of an extremal \([72, 36, 16]\) code does not contain \(Z_7\), \(Z_3\times Z_3\), or \(D_{10}\). Zbl 1364.94676Feulner, Thomas; Nebe, Gabriele 5 2012 An extremal \([72,36,16]\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\). Zbl 1258.94045Nebe, Gabriele 4 2012 On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 4 2012 On extremal self-dual ternary codes of length 48. Zbl 1251.94046Nebe, Gabriele 1 2012 On the equivalence of quadratic APN functions. Zbl 1250.11101Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele 8 2011 On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele 5 2010 On theta series attached to maximal lattices and their adjoints. Zbl 1225.11048Böcherer, Siegfried; Nebe, Gabriele 3 2010 Low-dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14. Zbl 1219.11103Nebe, Gabriele; Venkov, Boris 2 2010 Lower bounds for measurable chromatic numbers. Zbl 1214.05022Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank 14 2009 Automorphisms of doubly even self-dual binary codes. Zbl 1184.94267Günther, Annika; Nebe, Gabriele 8 2009 Hermitian modular forms congruent to 1 modulo \(p\). Zbl 1213.11107Hentschel, Michael; Nebe, Gabriele 5 2009 Recognition of division algebras. Zbl 1184.16054Nebe, Gabriele; Steel, Allan 5 2009 Finite Weil representations and associated Hecke algebras. Zbl 1247.11061Nebe, Gabriele 1 2009 On lattices whose minimal vectors form a 6-design. Zbl 1172.05010Nebe, Gabriele; Venkov, Boris 1 2009 A Gilbert-Varshamov type bound for Euclidean packings. Zbl 1211.11083Nebe, Gabriele; Xing, Chaoping 1 2008 Clifford-Weil groups of quotient representations. Zbl 1210.94111Günther, Annika; Nebe, Gabriele; Rains, Eric M. 1 2008 Clifford-Weil groups for finite group rings, some examples. Zbl 1210.94110Günther, Annika; Nebe, Gabriele 1 2008 Mini-workshop: Arithmetic of group rings. Abstracts from the mini-workshop held November 25 – December 1, 2007. (Mini-workshop: Arithmetik von Gruppenringen.) Zbl 1177.16002 5 2007 \(s\)-extremal strongly modular lattices. Zbl 1196.11097Nebe, Gabriele; Schindelar, Kristina 2 2007 Self-dual codes and invariant theory. Zbl 1173.94447Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A. 41 2006 Kneser-Hecke-operators in coding theory. Zbl 1122.94053Nebe, G. 7 2006 On the Euclidean minimum of some real number fields. Zbl 1161.11032Bayer-Fluckiger, Eva; Nebe, Gabriele 20 2005 Low-dimensional strongly perfect lattices. I: The 12-dimensional case. Zbl 1124.11031Nebe, Gabriele; Venkov, Boris 6 2005 On the radical idealizer chain of symmetric orders. Zbl 1068.16018Nebe, Gabriele 3 2005 Hecke actions on certain strongly modular genera of lattices. Zbl 1192.11026Nebe, Gabriele; Teider, Maria 1 2005 Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A. 9 2004 Codes and invariant theory. Zbl 1077.94024Nebe, G.; Rains, E. M.; Sloane, N. J. A. 8 2004 Globally maximal arithmetic groups. Zbl 1113.20040Gross, Benedict H.; Nebe, Gabriele 6 2004 Strongly modular lattices with long shadow. Zbl 1078.11047Nebe, Gabriele 1 2004 On group ring automorphisms. Zbl 1054.20002Hertweck, Martin; Nebe, Gabriele 1 2004 Unimodular lattices with long shadow. Zbl 1081.11049Nebe, Gabriele; Venkov, Boris 7 2003 Elementary divisors of Gram matrices of certain Specht modules. Zbl 1062.20012Künzer, M.; Nebe, G. 4 2003 Designs in Grassmannian spaces and lattices. Zbl 1035.05027Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele 19 2002 Lattice chain models for affine buildings of classical type. Zbl 1113.20028Abramenko, Peter; Nebe, Gabriele 12 2002 Odd unimodular lattices of minimum 4. Zbl 0998.11034Bachoc, Christine; Nebe, Gabriele; Venkov, Boris 5 2002 A simple construction for the Barnes-Wall lattices. Zbl 1039.94532Nebe, G.; Rains, E. M.; Sloane, N. J. A. 4 2002 Lattices and modular forms. (Gitter und Modulformen.) Zbl 1160.11334Nebe, Gabriele 3 2002 The principal block of \(\mathbb{Z}_pS_{2p}\). Zbl 1065.20016Nebe, Gabriele 2 2002 Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050Bachoc, Christine; Nebe, Gabriele 2 2002 The invariants of the Clifford groups. Zbl 1002.11057Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A. 24 2001 On Siegel modular forms of weight 12. Zbl 0997.11039Nebe, Gabriele; Venkov, Boris 8 2001 The strongly perfect lattices of dimension 10. Zbl 0997.11049Nebe, Gabriele; Venkov, Boris 10 2000 Orthogonal Frobenius reciprocity. Zbl 0954.20005Nebe, Gabriele 5 2000 Invariants of orthogonal \(G\)-modules from the character table. Zbl 0978.20004Nebe, Gabriele 3 2000 The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd. Zbl 1043.20008Nebe, Gabriele 1 2000 The group ring of \(\text{SL}_2(2^f)\) over 2-adic integers. Zbl 1043.20009Nebe, Gabriele 1 2000 On the cokernel of the Witt decomposition map. Zbl 0993.11020Nebe, Gabriele 1 2000 The root lattices of the complex reflection groups. Zbl 0930.20048Nebe, Gabriele 8 1999 Orthogonal representations of finite groups and group rings. (Orthogonale Darstellungen endlicher Gruppen und Gruppenringe.) Zbl 1052.20005Nebe, Gabriele 7 1999 Construction and investigation of lattices with matrix groups. Zbl 0970.11025Nebe, Gabriele 1 1999 Finite quaternionic matrix groups. Zbl 0901.20035Nebe, Gabriele 18 1998 Some cyclo-quaternionic lattices. Zbl 0897.11022Nebe, Gabriele 14 1998 Maximal integral forms of the algebraic group \(G_2\) defined by finite subgroups. Zbl 0920.11021Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 7 1998 Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043Bachoc, Christine; Nebe, Gabriele 4 1998 The group ring of \(\text{SL}_2(p^2)\) over the \(p\)-adic integers. Zbl 0923.20003Nebe, Gabriele 1 1998 Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021Bachoc, Christine; Nebe, Gabriele 10 1997 The normaliser action and strongly modular lattices. Zbl 0898.11026Nebe, Gabriele 4 1997 Finite subgroups of \(\text{GL}_ n(\mathbb{Q})\) for \(25\leq n\leq 31\). Zbl 0856.20031Nebe, Gabriele 11 1996 Finite subgroups of \(\text{GL}_{24}(\mathbb{Q})\). Zbl 0870.20029Nebe, Gabriele 5 1996 Nonexistence of extremal lattices in certain genera of modular lattices. Zbl 0863.11041Nebe, Gabriele; Venkov, Boris B. 3 1996 Cayley orders. Zbl 0856.20030Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm 2 1996 Finite rational matrix groups. Zbl 0837.20056Nebe, G.; Plesken, W. 21 1995 Finite rational matrix groups of degree \(24\). (Endliche rationale Matrixgruppen vom Grad \(24\).) Zbl 0837.20057Nebe, Gabriele 4 1995 Extremal even unimodular lattices of rank 32 and related codes. Zbl 0793.11012Koch, Helmut; Nebe, Gabriele 1 1993 Über gerade unimodulare Gitter der Dimension 32. III. Mit einem Anhang von Gabriele Nebe: Die Funktion \(g^ A\) für einige Gitter mit Nachbardefekt 8. (On even unimodular lattices of dimension 32. III. With an appendix by Gabriele Nebe: The function \(g^ A\) for some lattices with neighbour defect 8). Zbl 0736.11022Koch, Helmut; Venkov, Boris B. 3 1991 all cited Publications top 5 cited Publications all top 5 Cited by 453 Authors 39 Nebe, Gabriele 10 Bachoc, Christine 10 Zullo, Ferdinando 9 Vallentin, Frank 8 Dougherty, Steven T. 7 Bayer-Fluckiger, Eva 7 Kirschmer, Markus 6 Bannai, Eiichi 6 Ehler, Martin 6 Harada, Masaaki 6 Jitman, Somphong 6 Jorge, Grasiele Cristiane 6 Oura, Manabu 6 Venkov, Boris B. 5 Borello, Martino 5 Costa, Sueli Irene Rodrigues 5 Coulangeon, Renaud 5 de Oliveira Filho, Fernando Mário 5 Ferrari, Agnaldo José 5 Gräf, Manuel 5 Krieg, Aloys 5 Schönnenbeck, Sebastian 5 Zanella, Corrado 4 Alonso-González, Clementa 4 Csajbók, Bence 4 de Andrade, Antonio Aparecido 4 de la Cruz, Javier 4 Eisele, Florian 4 Fukshansky, Lenny 4 Marino, Giuseppe 4 Navarro-Pérez, Miguel Ángel 4 Rains, Eric M. 4 Schürmann, Achill 3 Abdukhalikov, Kanat S. 3 Achar, Pramod N. 3 Aubert, Anne-Marie 3 Bannai, Etsuko 3 Braun, Oliver 3 Crnković, Dean 3 de Laat, David 3 DeCorte, Evan 3 Fan, Yun 3 Gaborit, Philippe 3 Hentschel, Michael 3 Kim, Jon-Lark 3 Kurz, Sascha 3 Lee, Yoonjin 3 Long, Ling 3 Margolis, Leo 3 Munemasa, Akihiro 3 Nagaoka, Shoyu 3 Plesken, Wilhelm 3 Polverino, Olga 3 Sloane, Neil James Alexander 3 Soler-Escrivà, Xaro 3 Swisher, Holly 3 Tiep Pham Huu 3 Yu, Wei-Hsuan 2 Aghamollaei, Gholamreza 2 Arenas-Carmona, Luis 2 Bardestani, Mohammad 2 Benson, David John 2 Betsumiya, Koichi 2 Böcherer, Siegfried 2 Boĭvalenkov, Pet”r Georgiev 2 Breger, Anna 2 Chenevier, Gaëtan 2 Chiera, Francesco Ludovico 2 Choi, Whan-Hyuk 2 De Araujo, Robson Ricardo 2 Dempwolff, Ulrich 2 Detinko, Alla S. 2 Dummigan, Neil 2 Dutour-Sikiric, Mathieu 2 Dymarsky, Anatoly 2 Eisenbarth, Simon 2 Flannery, Dane Laurence 2 Garibaldi, Skip 2 Gemünden, Thomas 2 Grabner, Peter J. 2 Griess, Robert L. jun. 2 Guralnick, Robert Michael 2 Hu, Sihuang 2 Huber, Felix Michael 2 Jespers, Eric 2 Jin, Ping 2 Karai, Keivan Mallahi 2 Keller, Christoph A. 2 Kiefer, Ann 2 Kiermaier, Michael 2 Kim, Hyunjin 2 Kominers, Scott Duke 2 Kueng, Richard 2 Kurihara, Hirotake 2 Li, Chao 2 Ling, San 2 Longobardi, Giovanni 2 Maciak, Piotr 2 Miezaki, Tsuyoshi 2 Murray, John C. ...and 353 more Authors all top 5 Cited in 108 Serials 37 Journal of Algebra 25 Journal of Number Theory 24 Designs, Codes and Cryptography 21 Finite Fields and their Applications 15 Journal de Théorie des Nombres de Bordeaux 13 International Journal of Number Theory 11 Journal of Algebraic Combinatorics 10 Discrete Mathematics 9 Mathematics of Computation 8 Linear Algebra and its Applications 8 Advances in Mathematics of Communications 7 Advances in Mathematics 7 Experimental Mathematics 7 Journal of Algebra, Combinatorics, Discrete Structures and Applications 6 Journal of Pure and Applied Algebra 6 European Journal of Combinatorics 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Archiv der Mathematik 5 Duke Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 Discrete & Computational Geometry 4 Communications in Algebra 4 Transactions of the American Mathematical Society 4 Mathematical Programming. Series A. Series B 4 Applicable Algebra in Engineering, Communication and Computing 3 Results in Mathematics 3 St. Petersburg Mathematical Journal 3 Representation Theory 3 The Ramanujan Journal 3 Journal of High Energy Physics 3 Proceedings of the Steklov Institute of Mathematics 2 Communications in Mathematical Physics 2 International Journal of Theoretical Physics 2 Israel Journal of Mathematics 2 Applied Mathematics and Computation 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Journal of Complexity 2 Applied and Computational Harmonic Analysis 2 Mathematical Problems in Engineering 2 Journal of Group Theory 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Algebra and its Applications 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete Mathematics, Algorithms and Applications 2 Science China. Mathematics 2 Korean Journal of Mathematics 1 Acta Mechanica 1 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Linear and Multilinear Algebra 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Geometry 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 SIAM Journal on Optimization 1 Computational Complexity 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 The Journal of Fourier Analysis and Applications 1 Transformation Groups 1 Taiwanese Journal of Mathematics 1 Algebras and Representation Theory 1 Communications in Contemporary Mathematics 1 Algebraic & Geometric Topology 1 Foundations of Computational Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Geometric Methods in Modern Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematics in Computer Science 1 Journal of Homotopy and Related Structures 1 Asian-European Journal of Mathematics 1 Confluentes Mathematici 1 Ars Mathematica Contemporanea ...and 8 more Serials all top 5 Cited in 42 Fields 197 Number theory (11-XX) 125 Information and communication theory, circuits (94-XX) 89 Group theory and generalizations (20-XX) 63 Combinatorics (05-XX) 30 Associative rings and algebras (16-XX) 29 Geometry (51-XX) 22 Convex and discrete geometry (52-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 15 Operations research, mathematical programming (90-XX) 14 Quantum theory (81-XX) 13 Algebraic geometry (14-XX) 10 Nonassociative rings and algebras (17-XX) 9 Topological groups, Lie groups (22-XX) 7 Special functions (33-XX) 7 Numerical analysis (65-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Computer science (68-XX) 5 Functional analysis (46-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Differential geometry (53-XX) 4 Relativity and gravitational theory (83-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Integral transforms, operational calculus (44-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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