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Author ID: nebe.gabriele Recent zbMATH articles by "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
all top 5

Co-Authors

42 single-authored
11 Venkov, Boris B.
7 Bachoc, Christine
6 Coulangeon, Renaud
6 Rains, Eric M.
6 Sloane, Neil James Alexander
5 Parker, Richard A.
4 Hentschel, Michael
3 Günther, Annika
3 Hu, Sihuang
3 Kirschmer, Markus
3 Koch, Helmut
3 Krieg, Aloys
3 Plesken, Wilhelm
3 Stanojkovski, Mima
2 Anas Hahn, Marvin
2 Bayer-Fluckiger, Eva
2 Borello, Martino
2 Braun, Oliver
2 Cohen, Arjeh Marcel
2 El Maazouz, Yassine
2 Gross, Benedict Hyman
2 Liebhold, Dirk
2 Sturmfels, Bernd
1 Abramenko, Peter
1 Agricola, Ilka
1 Böcherer, Siegfried
1 Bracken, Carl
1 Byrne, Eimear
1 Chill, Ralph
1 Chisholm, Sarah
1 Dalla Volta, Francesca
1 de Oliveira Filho, Fernando Mário
1 Deines-Schartz, Alyson
1 Eick, Bettina
1 Eisenbarth, Simon
1 Feaver, Amy
1 Feulner, Thomas
1 Fourier, Ghislain
1 Gohlisch, Claudia
1 Götze, Friedrich
1 Grötschel, Martin
1 Haensch, Anna
1 Henn, Andreas
1 Hertweck, Martin
1 Holt, Derek F.
1 Hoyer, Linda
1 Hulek, Klaus
1 Jespers, Eric
1 Kimmerle, Wolfgang
1 Künzer, Matthias
1 Linton, Stephen A.
1 Liu, Jingbo
1 Long, Ling
1 Marciniak, Zbigniew S.
1 McGuire, Gary
1 Michor, Peter Wolfram
1 Miezaki, Tsuyoshi
1 Munemasa, Akihiro
1 Niemeyer, Alice C.
1 Nossek, Elisabeth
1 O’Brien, Eamonn A.
1 Pellarin, Federico
1 Prömel, Hans Jürgen
1 Quebbemann, Heinz-Georg
1 Rees, Sarah
1 Sadjadpour, Hamid R.
1 Schäfer, Artur
1 Scheeren, Leonie
1 Schindelar, Kristina
1 Schönnenbeck, Sebastian
1 Solé, Patrick
1 Steel, Allan K.
1 Swisher, Holly
1 Teider, Maria
1 Thackray, Jon
1 Vallentin, Frank
1 Vázquez-Castro, Ángeles
1 Villar, Darwin
1 Vygen, Jens
1 Willems, Wolfgang
1 Woeginger, Gerhard
1 Xing, Chaoping
all top 5

Serials

10 Journal of Algebra
8 Archiv der Mathematik
8 Journal of Number Theory
6 Journal de Théorie des Nombres de Bordeaux
5 International Journal of Number Theory
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Nachrichten
4 Experimental Mathematics
4 Oberwolfach Reports
4 Advances in Mathematics of Communications
4 Albanian Journal of Mathematics
3 Communications in Algebra
3 Designs, Codes and Cryptography
3 L’Enseignement Mathématique. 2e Série
3 Finite Fields and their Applications
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Mathematics of Computation
2 Beiträge zur Algebra und Geometrie
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Bulletin of the London Mathematical Society
2 European Journal of Combinatorics
2 Journal of Group Theory
2 Aachener Beiträge zur Mathematik
1 Discrete Mathematics
1 IEEE Transactions on Information Theory
1 Israel Journal of Mathematics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Acta Arithmetica
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

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 694 times in 496 Documents Cited by Year
Self-dual codes and invariant theory. Zbl 1173.94447
Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A.
73
2006
The invariants of the Clifford groups. Zbl 1002.11057
Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A.
30
2001
Finite rational matrix groups. Zbl 0837.20056
Nebe, G.; Plesken, W.
30
1995
Automorphism groups of Gabidulin-like codes. Zbl 1348.94086
Liebhold, Dirk; Nebe, Gabriele
29
2016
Finite quaternionic matrix groups. Zbl 0901.20035
Nebe, Gabriele
23
1998
On the Euclidean minimum of some real number fields. Zbl 1161.11032
Bayer-Fluckiger, Eva; Nebe, Gabriele
22
2005
Designs in Grassmannian spaces and lattices. Zbl 1035.05027
Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele
22
2002
Lattice chain models for affine buildings of classical type. Zbl 1113.20028
Abramenko, Peter; Nebe, Gabriele
19
2002
Lower bounds for measurable chromatic numbers. Zbl 1214.05022
Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank
18
2009
Some cyclo-quaternionic lattices. Zbl 0897.11022
Nebe, Gabriele
16
1998
On tight spherical designs. Zbl 1271.05021
Nebe, G.; Venkov, B.
15
2013
An even unimodular 72-dimensional lattice of minimum 8. Zbl 1270.11066
Nebe, Gabriele
14
2012
Finite subgroups of \(\text{GL}_ n(\mathbb{Q})\) for \(25\leq n\leq 31\). Zbl 0856.20031
Nebe, Gabriele
13
1996
Network coding with flags. Zbl 1412.94254
Liebhold, Dirk; Nebe, Gabriele; Vazquez-Castro, Angeles
13
2018
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
12
2007
On Siegel modular forms of weight 12. Zbl 0997.11039
Nebe, Gabriele; Venkov, Boris
12
2001
The strongly perfect lattices of dimension 10. Zbl 0997.11049
Nebe, Gabriele; Venkov, Boris
12
2000
Automorphisms of doubly even self-dual binary codes. Zbl 1184.94267
Günther, Annika; Nebe, Gabriele
10
2009
Orthogonal representations of finite groups and group rings. (Orthogonale Darstellungen endlicher Gruppen und Gruppenringe.) Zbl 1052.20005
Nebe, Gabriele
10
1999
Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013
Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A.
10
2004
Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021
Bachoc, Christine; Nebe, Gabriele
10
1997
Computing in arithmetic groups with Voronoï’s algorithm. Zbl 1323.16014
Braun, Oliver; Coulangeon, Renaud; Nebe, Gabriele; Schönnenbeck, Sebastian
10
2015
On the equivalence of quadratic APN functions. Zbl 1250.11101
Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele
9
2011
Codes and invariant theory. Zbl 1077.94024
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
9
2004
Recognition of division algebras. Zbl 1184.16054
Nebe, Gabriele; Steel, Allan
8
2009
Kneser-Hecke-operators in coding theory. Zbl 1122.94053
Nebe, G.
8
2006
Globally maximal arithmetic groups. Zbl 1113.20040
Gross, Benedict H.; Nebe, Gabriele
8
2004
Maximal integral forms of the algebraic group \(G_2\) defined by finite subgroups. Zbl 0920.11021
Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm
8
1998
The root lattices of the complex reflection groups. Zbl 0930.20048
Nebe, Gabriele
8
1999
Finite subgroups of \(\text{GL}_{24}(\mathbb{Q})\). Zbl 0870.20029
Nebe, Gabriele
8
1996
Finite rational matrix groups of degree \(24\). (Endliche rationale Matrixgruppen vom Grad \(24\).) Zbl 0837.20057
Nebe, Gabriele
8
1995
Low-dimensional strongly perfect lattices. I: The 12-dimensional case. Zbl 1124.11031
Nebe, Gabriele; Venkov, Boris
7
2005
On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062
Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele
7
2010
On self-dual MRD codes. Zbl 1348.94100
Nebe, Gabriele; Willems, Wolfgang
7
2016
\(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058
Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly
7
2013
Unimodular lattices with long shadow. Zbl 1081.11049
Nebe, Gabriele; Venkov, Boris
7
2003
On automorphisms of extremal even unimodular lattices. Zbl 1282.11075
Nebe, Gabriele
7
2013
A fourth extremal even unimodular lattice of dimension 48. Zbl 1319.11042
Nebe, Gabriele
5
2014
Hermitian modular forms congruent to 1 modulo \(p\). Zbl 1213.11107
Hentschel, Michael; Nebe, Gabriele
5
2009
Odd unimodular lattices of minimum 4. Zbl 0998.11034
Bachoc, Christine; Nebe, Gabriele; Venkov, Boris
5
2002
A simple construction for the Barnes-Wall lattices. Zbl 1039.94532
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
5
2002
Orthogonal Frobenius reciprocity. Zbl 0954.20005
Nebe, Gabriele
5
2000
The automorphism group of an extremal \([72, 36, 16]\) code does not contain \(Z_7\), \(Z_3\times Z_3\), or \(D_{10}\). Zbl 1364.94676
Feulner, Thomas; Nebe, Gabriele
5
2012
An analogue of the Pless symmetry code. Zbl 1433.94130
Nebe, Gabriele; Villar, Darwin
5
2013
The normaliser action and strongly modular lattices. Zbl 0898.11026
Nebe, Gabriele
5
1997
On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094
Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele
5
2012
On theta series attached to maximal lattices and their adjoints. Zbl 1225.11048
Böcherer, Siegfried; Nebe, Gabriele
4
2010
Invariants of orthogonal \(G\)-modules from the character table. Zbl 0978.20004
Nebe, Gabriele
4
2000
Automorphisms of extremal unimodular lattices in dimension 72. Zbl 1387.11037
Nebe, Gabriele
4
2016
Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043
Bachoc, Christine; Nebe, Gabriele
4
1998
On extremal quasi-modular forms after Kaneko and Koike. Zbl 1470.11075
Pellarin, Federico; Nebe, Gabriele
4
2020
Boris Venkov’s theory of lattices and spherical designs. Zbl 1298.11002
Nebe, Gabriele
4
2013
Elementary divisors of Gram matrices of certain Specht modules. Zbl 1062.20012
Künzer, M.; Nebe, G.
4
2003
Orthogonal determinants of characters. Zbl 1514.20030
Nebe, Gabriele
4
2022
An extremal \([72,36,16]\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\). Zbl 1258.94045
Nebe, Gabriele
4
2012
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 0736.11022
Koch, Helmut; Venkov, Boris B.
3
1991
On the radical idealizer chain of symmetric orders. Zbl 1068.16018
Nebe, Gabriele
3
2005
Lattices and modular forms. (Gitter und Modulformen.) Zbl 1160.11334
Nebe, Gabriele
3
2002
Nonexistence of extremal lattices in certain genera of modular lattices. Zbl 0863.11041
Nebe, Gabriele; Venkov, Boris B.
3
1996
Maximal finite subgroups and minimal classes. Zbl 1325.16014
Coulangeon, Renaud; Nebe, Gabriele
3
2014
Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. Zbl 1271.11069
Nebe, Gabriele; Nossek, Elisabeth; Venkov, Boris
3
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 1283.94108
Borello, Martino; Volta, Francesca Dalla; Nebe, Gabriele
3
2013
On extremal self-dual ternary codes of length 48. Zbl 1251.94046
Nebe, Gabriele
3
2012
On involutions in extremal self-dual codes and the dual distance of semi self-dual codes. Zbl 1368.94156
Borello, Martino; Nebe, Gabriele
3
2015
Degenerate flag varieties in network coding. Zbl 1522.94134
Fourier, Ghislain; Nebe, Gabriele
3
2023
Low-dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14. Zbl 1219.11103
Nebe, Gabriele; Venkov, Boris
2
2010
The principal block of \(\mathbb{Z}_pS_{2p}\). Zbl 1065.20016
Nebe, Gabriele
2
2002
Strongly modular lattices with long shadow. Zbl 1078.11047
Nebe, Gabriele
2
2004
A nilpotent non abelian group code. Zbl 1354.94069
Nebe, Gabriele; Schäfer, Artur
2
2014
Strongly perfect lattices sandwiched between Barnes-Wall lattices. Zbl 1467.11061
Hu, Sihuang; Nebe, Gabriele
2
2020
Dense lattices as Hermitian tensor products. Zbl 1298.11063
Coulangeon, Renaud; Nebe, Gabriele
2
2013
Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050
Bachoc, Christine; Nebe, Gabriele
2
2002
Cayley orders. Zbl 0856.20030
Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm
2
1996
\(s\)-extremal strongly modular lattices. Zbl 1196.11097
Nebe, Gabriele; Schindelar, Kristina
2
2007
Orders and polytropes: matrix algebras from valuations. Zbl 1502.14149
El Maazouz, Yassine; Hahn, Marvin Anas; Nebe, Gabriele; Stanojkovski, Mima; Sturmfels, Bernd
2
2022
The orthogonal character table of \(\mathrm{SL}_{2}(q)\). Zbl 1467.20003
Braun, Oliver; Nebe, Gabriele
2
2017
One class genera of lattice chains over number fields. Zbl 1425.11065
Kirschmer, Markus; Nebe, Gabriele
2
2017
A Gilbert-Varshamov type bound for Euclidean packings. Zbl 1211.11083
Nebe, Gabriele; Xing, Chaoping
1
2008
Finite Weil representations and associated Hecke algebras. Zbl 1247.11061
Nebe, Gabriele
1
2009
On lattices whose minimal vectors form a 6-design. Zbl 1172.05010
Nebe, Gabriele; Venkov, Boris
1
2009
Clifford-Weil groups of quotient representations. Zbl 1210.94111
Günther, Annika; Nebe, Gabriele; Rains, Eric M.
1
2008
Clifford-Weil groups for finite group rings, some examples. Zbl 1210.94110
Günther, Annika; Nebe, Gabriele
1
2008
On group ring automorphisms. Zbl 1054.20002
Hertweck, Martin; Nebe, Gabriele
1
2004
The group ring of \(\text{SL}_2(2^f)\) over 2-adic integers. Zbl 1043.20009
Nebe, Gabriele
1
2000
On the cokernel of the Witt decomposition map. Zbl 0993.11020
Nebe, Gabriele
1
2000
On blocks with cyclic defect groups and their head orders. Zbl 1072.20011
Nebe, Gabriele
1
2005
The group ring of \(\text{SL}_2(p^2)\) over the \(p\)-adic integers. Zbl 0923.20003
Nebe, Gabriele
1
1998
Construction and investigation of lattices with matrix groups. Zbl 0970.11025
Nebe, Gabriele
1
1999
Hecke actions on certain strongly modular genera of lattices. Zbl 1192.11026
Nebe, Gabriele; Teider, Maria
1
2005
Quaternary quadratic lattices over number fields. Zbl 1439.11107
Kirschmer, Markus; Nebe, Gabriele
1
2019
Self-dual codes over chain rings. Zbl 1456.94132
Eisenbarth, Simon; Nebe, Gabriele
1
2020
Automorphisms of modular lattices. Zbl 1469.11227
Nebe, Gabriele
1
2021
On extremal even unimodular 72-dimensional lattices. Zbl 1283.11099
Nebe, Gabriele; Parker, Richard
1
2014
Extremal even unimodular lattices of rank 32 and related codes. Zbl 0793.11012
Koch, Helmut; Nebe, Gabriele
1
1993
The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd. Zbl 1043.20008
Nebe, Gabriele
1
2000
Even lattices with covering radius \(< \sqrt{2}\). Zbl 1142.11340
Nebe, Gabriele
1
2003
Orthogonal stability. Zbl 1521.20019
Nebe, Gabriele; Parker, Richard
1
2023
Slopes of Euclidean lattices, tensor product and group actions. Zbl 1451.11064
Coulangeon, Renaud; Nebe, Gabriele
1
2020
Equivariant quadratic forms in characteristic 2. Zbl 1533.11075
Nebe, Gabriele; Parker, Richard
1
2023
Bolytrope orders. Zbl 1520.11096
El Maazouz, Yassine; Nebe, Gabriele; Stanojkovski, Mima
1
2023
Degenerate flag varieties in network coding. Zbl 1522.94134
Fourier, Ghislain; Nebe, Gabriele
3
2023
Orthogonal stability. Zbl 1521.20019
Nebe, Gabriele; Parker, Richard
1
2023
Equivariant quadratic forms in characteristic 2. Zbl 1533.11075
Nebe, Gabriele; Parker, Richard
1
2023
Bolytrope orders. Zbl 1520.11096
El Maazouz, Yassine; Nebe, Gabriele; Stanojkovski, Mima
1
2023
Orthogonal determinants of characters. Zbl 1514.20030
Nebe, Gabriele
4
2022
Orders and polytropes: matrix algebras from valuations. Zbl 1502.14149
El Maazouz, Yassine; Hahn, Marvin Anas; Nebe, Gabriele; Stanojkovski, Mima; Sturmfels, Bernd
2
2022
Automorphisms of modular lattices. Zbl 1469.11227
Nebe, Gabriele
1
2021
On extremal quasi-modular forms after Kaneko and Koike. Zbl 1470.11075
Pellarin, Federico; Nebe, Gabriele
4
2020
Strongly perfect lattices sandwiched between Barnes-Wall lattices. Zbl 1467.11061
Hu, Sihuang; Nebe, Gabriele
2
2020
Self-dual codes over chain rings. Zbl 1456.94132
Eisenbarth, Simon; Nebe, Gabriele
1
2020
Slopes of Euclidean lattices, tensor product and group actions. Zbl 1451.11064
Coulangeon, Renaud; Nebe, Gabriele
1
2020
Quaternary quadratic lattices over number fields. Zbl 1439.11107
Kirschmer, Markus; Nebe, Gabriele
1
2019
Network coding with flags. Zbl 1412.94254
Liebhold, Dirk; Nebe, Gabriele; Vazquez-Castro, Angeles
13
2018
The orthogonal character table of \(\mathrm{SL}_{2}(q)\). Zbl 1467.20003
Braun, Oliver; Nebe, Gabriele
2
2017
One class genera of lattice chains over number fields. Zbl 1425.11065
Kirschmer, Markus; Nebe, Gabriele
2
2017
Automorphism groups of Gabidulin-like codes. Zbl 1348.94086
Liebhold, Dirk; Nebe, Gabriele
29
2016
On self-dual MRD codes. Zbl 1348.94100
Nebe, Gabriele; Willems, Wolfgang
7
2016
Automorphisms of extremal unimodular lattices in dimension 72. Zbl 1387.11037
Nebe, Gabriele
4
2016
Computing in arithmetic groups with Voronoï’s algorithm. Zbl 1323.16014
Braun, Oliver; Coulangeon, Renaud; Nebe, Gabriele; Schönnenbeck, Sebastian
10
2015
On involutions in extremal self-dual codes and the dual distance of semi self-dual codes. Zbl 1368.94156
Borello, Martino; Nebe, Gabriele
3
2015
A fourth extremal even unimodular lattice of dimension 48. Zbl 1319.11042
Nebe, Gabriele
5
2014
Maximal finite subgroups and minimal classes. Zbl 1325.16014
Coulangeon, Renaud; Nebe, Gabriele
3
2014
A nilpotent non abelian group code. Zbl 1354.94069
Nebe, Gabriele; Schäfer, Artur
2
2014
On extremal even unimodular 72-dimensional lattices. Zbl 1283.11099
Nebe, Gabriele; Parker, Richard
1
2014
On tight spherical designs. Zbl 1271.05021
Nebe, G.; Venkov, B.
15
2013
\(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). Zbl 1296.11058
Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly
7
2013
On automorphisms of extremal even unimodular lattices. Zbl 1282.11075
Nebe, Gabriele
7
2013
An analogue of the Pless symmetry code. Zbl 1433.94130
Nebe, Gabriele; Villar, Darwin
5
2013
Boris Venkov’s theory of lattices and spherical designs. Zbl 1298.11002
Nebe, Gabriele
4
2013
Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15. Zbl 1271.11069
Nebe, Gabriele; Nossek, Elisabeth; Venkov, Boris
3
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 1283.94108
Borello, Martino; Volta, Francesca Dalla; Nebe, Gabriele
3
2013
Dense lattices as Hermitian tensor products. Zbl 1298.11063
Coulangeon, Renaud; Nebe, Gabriele
2
2013
An even unimodular 72-dimensional lattice of minimum 8. Zbl 1270.11066
Nebe, Gabriele
14
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 1364.94676
Feulner, Thomas; Nebe, Gabriele
5
2012
On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094
Hentschel, Michael; Krieg, Aloys; 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 1258.94045
Nebe, Gabriele
4
2012
On extremal self-dual ternary codes of length 48. Zbl 1251.94046
Nebe, Gabriele
3
2012
On the equivalence of quadratic APN functions. Zbl 1250.11101
Bracken, Carl; Byrne, Eimear; McGuire, Gary; Nebe, Gabriele
9
2011
On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062
Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele
7
2010
On theta series attached to maximal lattices and their adjoints. Zbl 1225.11048
Böcherer, Siegfried; Nebe, Gabriele
4
2010
Low-dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14. Zbl 1219.11103
Nebe, Gabriele; Venkov, Boris
2
2010
Lower bounds for measurable chromatic numbers. Zbl 1214.05022
Bachoc, Christine; Nebe, Gabriele; de Oliveira Filho, Fernando Mário; Vallentin, Frank
18
2009
Automorphisms of doubly even self-dual binary codes. Zbl 1184.94267
Günther, Annika; Nebe, Gabriele
10
2009
Recognition of division algebras. Zbl 1184.16054
Nebe, Gabriele; Steel, Allan
8
2009
Hermitian modular forms congruent to 1 modulo \(p\). Zbl 1213.11107
Hentschel, Michael; Nebe, Gabriele
5
2009
Finite Weil representations and associated Hecke algebras. Zbl 1247.11061
Nebe, Gabriele
1
2009
On lattices whose minimal vectors form a 6-design. Zbl 1172.05010
Nebe, Gabriele; Venkov, Boris
1
2009
A Gilbert-Varshamov type bound for Euclidean packings. Zbl 1211.11083
Nebe, Gabriele; Xing, Chaoping
1
2008
Clifford-Weil groups of quotient representations. Zbl 1210.94111
Günther, Annika; Nebe, Gabriele; Rains, Eric M.
1
2008
Clifford-Weil groups for finite group rings, some examples. Zbl 1210.94110
Günther, 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
12
2007
\(s\)-extremal strongly modular lattices. Zbl 1196.11097
Nebe, Gabriele; Schindelar, Kristina
2
2007
Self-dual codes and invariant theory. Zbl 1173.94447
Nebe, Gabriele; Rains, Eric M.; Sloane, Neil J. A.
73
2006
Kneser-Hecke-operators in coding theory. Zbl 1122.94053
Nebe, G.
8
2006
On the Euclidean minimum of some real number fields. Zbl 1161.11032
Bayer-Fluckiger, Eva; Nebe, Gabriele
22
2005
Low-dimensional strongly perfect lattices. I: The 12-dimensional case. Zbl 1124.11031
Nebe, Gabriele; Venkov, Boris
7
2005
On the radical idealizer chain of symmetric orders. Zbl 1068.16018
Nebe, Gabriele
3
2005
On blocks with cyclic defect groups and their head orders. Zbl 1072.20011
Nebe, Gabriele
1
2005
Hecke actions on certain strongly modular genera of lattices. Zbl 1192.11026
Nebe, Gabriele; Teider, Maria
1
2005
Complete weight enumerators of generalized doubly-even self-dual codes. Zbl 1107.94013
Nebe, Gabriele; Quebbemann, H.-G.; Rains, E. M.; Sloane, N. J. A.
10
2004
Codes and invariant theory. Zbl 1077.94024
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
9
2004
Globally maximal arithmetic groups. Zbl 1113.20040
Gross, Benedict H.; Nebe, Gabriele
8
2004
Strongly modular lattices with long shadow. Zbl 1078.11047
Nebe, Gabriele
2
2004
On group ring automorphisms. Zbl 1054.20002
Hertweck, Martin; Nebe, Gabriele
1
2004
Unimodular lattices with long shadow. Zbl 1081.11049
Nebe, Gabriele; Venkov, Boris
7
2003
Elementary divisors of Gram matrices of certain Specht modules. Zbl 1062.20012
Künzer, M.; Nebe, G.
4
2003
Even lattices with covering radius \(< \sqrt{2}\). Zbl 1142.11340
Nebe, Gabriele
1
2003
Designs in Grassmannian spaces and lattices. Zbl 1035.05027
Bachoc, Christine; Coulangeon, Renaud; Nebe, Gabriele
22
2002
Lattice chain models for affine buildings of classical type. Zbl 1113.20028
Abramenko, Peter; Nebe, Gabriele
19
2002
Odd unimodular lattices of minimum 4. Zbl 0998.11034
Bachoc, Christine; Nebe, Gabriele; Venkov, Boris
5
2002
A simple construction for the Barnes-Wall lattices. Zbl 1039.94532
Nebe, G.; Rains, E. M.; Sloane, N. J. A.
5
2002
Lattices and modular forms. (Gitter und Modulformen.) Zbl 1160.11334
Nebe, Gabriele
3
2002
The principal block of \(\mathbb{Z}_pS_{2p}\). Zbl 1065.20016
Nebe, Gabriele
2
2002
Zonal functions for the unitary groups and applications to Hermitian lattices. Zbl 1046.11050
Bachoc, Christine; Nebe, Gabriele
2
2002
The invariants of the Clifford groups. Zbl 1002.11057
Nebe, Gabriele; Rains, E. M.; Sloane, N. J. A.
30
2001
On Siegel modular forms of weight 12. Zbl 0997.11039
Nebe, Gabriele; Venkov, Boris
12
2001
The strongly perfect lattices of dimension 10. Zbl 0997.11049
Nebe, Gabriele; Venkov, Boris
12
2000
Orthogonal Frobenius reciprocity. Zbl 0954.20005
Nebe, Gabriele
5
2000
Invariants of orthogonal \(G\)-modules from the character table. Zbl 0978.20004
Nebe, Gabriele
4
2000
The group ring of \(\text{SL}_2(2^f)\) over 2-adic integers. Zbl 1043.20009
Nebe, Gabriele
1
2000
On the cokernel of the Witt decomposition map. Zbl 0993.11020
Nebe, Gabriele
1
2000
The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd. Zbl 1043.20008
Nebe, Gabriele
1
2000
Orthogonal representations of finite groups and group rings. (Orthogonale Darstellungen endlicher Gruppen und Gruppenringe.) Zbl 1052.20005
Nebe, Gabriele
10
1999
The root lattices of the complex reflection groups. Zbl 0930.20048
Nebe, Gabriele
8
1999
Construction and investigation of lattices with matrix groups. Zbl 0970.11025
Nebe, Gabriele
1
1999
Finite quaternionic matrix groups. Zbl 0901.20035
Nebe, Gabriele
23
1998
Some cyclo-quaternionic lattices. Zbl 0897.11022
Nebe, Gabriele
16
1998
Maximal integral forms of the algebraic group \(G_2\) defined by finite subgroups. Zbl 0920.11021
Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm
8
1998
Extremal lattices of minimum 8 related to the Mathieu group \(M_{22}\). Zbl 0885.11043
Bachoc, Christine; Nebe, Gabriele
4
1998
The group ring of \(\text{SL}_2(p^2)\) over the \(p\)-adic integers. Zbl 0923.20003
Nebe, Gabriele
1
1998
Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order. Zbl 0886.11021
Bachoc, Christine; Nebe, Gabriele
10
1997
The normaliser action and strongly modular lattices. Zbl 0898.11026
Nebe, Gabriele
5
1997
Finite subgroups of \(\text{GL}_ n(\mathbb{Q})\) for \(25\leq n\leq 31\). Zbl 0856.20031
Nebe, Gabriele
13
1996
Finite subgroups of \(\text{GL}_{24}(\mathbb{Q})\). Zbl 0870.20029
Nebe, Gabriele
8
1996
Nonexistence of extremal lattices in certain genera of modular lattices. Zbl 0863.11041
Nebe, Gabriele; Venkov, Boris B.
3
1996
Cayley orders. Zbl 0856.20030
Cohen, Arjeh M.; Nebe, Gabriele; Plesken, Wilhelm
2
1996
Finite rational matrix groups. Zbl 0837.20056
Nebe, G.; Plesken, W.
30
1995
Finite rational matrix groups of degree \(24\). (Endliche rationale Matrixgruppen vom Grad \(24\).) Zbl 0837.20057
Nebe, Gabriele
8
1995
Extremal even unimodular lattices of rank 32 and related codes. Zbl 0793.11012
Koch, 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 0736.11022
Koch, Helmut; Venkov, Boris B.
3
1991
all top 5

Cited by 581 Authors

50 Nebe, Gabriele
13 Vallentin, Frank
13 Zullo, Ferdinando
11 Bachoc, Christine
10 Bannai, Eiichi
9 Dougherty, Steven T.
9 Harada, Masaaki
8 Kirschmer, Markus
8 Oura, Manabu
7 Bayer-Fluckiger, Eva
7 de Oliveira Filho, Fernando Mário
7 Ehler, Martin
7 Ferrari, Agnaldo José
7 Kim, Jon-Lark
7 Navarro-Pérez, Miguel Ángel
7 Zhou, Yue
6 Gräf, Manuel
6 Jitman, Somphong
6 Jorge, Grasiele Cristiane
6 Miezaki, Tsuyoshi
6 Soler-Escrivà, Xaro
6 Venkov, Boris B.
5 Alonso-González, Clementa
5 Bannai, Etsuko
5 Borello, Martino
5 Costa, Sueli Irene Rodrigues
5 Coulangeon, Renaud
5 Krieg, Aloys
5 Lee, Yoonjin
5 Margolis, Leo
5 Marino, Giuseppe
5 Schönnenbeck, Sebastian
5 Zanella, Corrado
4 Chakraborty, Himadri Shekhar
4 Csajbók, Bence
4 de Andrade, Antonio Aparecido
4 de la Cruz, Javier
4 Dymarsky, Anatoly
4 Eisele, Florian
4 Fukshansky, Lenny
4 Hu, Sihuang
4 Long, Ling
4 Rains, Eric M.
4 Schürmann, Achill
4 Shi, Minjia
4 Swisher, Holly
4 Tonchev, Vladimir D.
4 Trombetti, Rocco
4 Zhu, Yan
3 Abdukhalikov, Kanat S.
3 Achar, Pramod N.
3 Araya, Makoto
3 Aubert, Anne-Marie
3 Böcherer, Siegfried
3 Braun, Oliver
3 Chenevier, Gaëtan
3 Choi, Whan-Hyuk
3 Crnković, Dean
3 de Laat, David
3 DeCorte, Evan
3 Dutour-Sikiric, Mathieu
3 Fan, Yun
3 Gaborit, Philippe
3 Gildea, Joe
3 Hentschel, Michael
3 Jespers, Eric
3 Kawabata, Kohki
3 Kim, Hyunjin
3 Kurz, Sascha
3 Longobardi, Giovanni
3 Munemasa, Akihiro
3 Nagaoka, Shoyu
3 Nozaki, Hiroshi
3 Panicaud, Benoit
3 Park, Youngho
3 Parker, Richard A.
3 Plesken, Wilhelm
3 Polverino, Olga
3 Rahm, Alexander Daniel
3 Rehman, Abdur
3 Schulze-Pillot, Rainer
3 Sheekey, John
3 Sloane, Neil James Alexander
3 Tiep Pham Huu
3 Yu, Wei-Hsuan
3 Zhao, Da
3 Zini, Giovanni
2 Aghamollaei, Gholamreza
2 Ali, Ilyas
2 Arenas-Carmona, Luis
2 Bächle, Andreas
2 Bardestani, Mohammad
2 Bartoli, Daniele
2 Basak, Tathagata
2 Benson, David John
2 Betsumiya, Koichi
2 Bovdi, Victor A.
2 Boĭvalenkov, Pet”r Georgiev
2 Breger, Anna
2 Bui, Anh Tuan
...and 481 more Authors
all top 5

Cited in 132 Serials

40 Journal of Algebra
32 Designs, Codes and Cryptography
29 Finite Fields and their Applications
27 Journal of Number Theory
17 International Journal of Number Theory
16 Discrete Mathematics
16 Journal de Théorie des Nombres de Bordeaux
14 Advances in Mathematics of Communications
12 Archiv der Mathematik
12 Journal of Algebraic Combinatorics
11 Linear Algebra and its Applications
9 Mathematics of Computation
9 Journal of High Energy Physics
8 Advances in Mathematics
8 Experimental Mathematics
7 Journal of Combinatorial Theory. Series A
7 Journal of Pure and Applied Algebra
7 Journal of Algebra, Combinatorics, Discrete Structures and Applications
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
6 European Journal of Combinatorics
5 Duke Mathematical Journal
5 Discrete & Computational Geometry
4 Communications in Algebra
4 Journal of the London Mathematical Society. Second Series
4 Transactions of the American Mathematical Society
4 Mathematical Programming. Series A. Series B
4 Applicable Algebra in Engineering, Communication and Computing
3 Communications in Mathematical Physics
3 Memoirs of the American Mathematical Society
3 Monatshefte für Mathematik
3 Proceedings of the American Mathematical Society
3 Results in Mathematics
3 Journal of Complexity
3 St. Petersburg Mathematical Journal
3 Representation Theory
3 The Ramanujan Journal
3 Journal of Algebra and its Applications
3 Proceedings of the Steklov Institute of Mathematics
3 Journal of Physics A: Mathematical and Theoretical
3 Korean Journal of Mathematics
2 Acta Mechanica
2 International Journal of Theoretical Physics
2 Israel Journal of Mathematics
2 Linear and Multilinear Algebra
2 Chaos, Solitons and Fractals
2 Applied Mathematics and Computation
2 Geometriae Dedicata
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Graphs and Combinatorics
2 Constructive Approximation
2 SIAM Journal on Discrete Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Applied and Computational Harmonic Analysis
2 The Electronic Journal of Combinatorics
2 Mathematical Problems in Engineering
2 Journal of Group Theory
2 Algebras and Representation Theory
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Applied Mathematics and Computing
2 Discrete Mathematics, Algorithms and Applications
2 Science China. Mathematics
2 Forum of Mathematics, Sigma
2 Research in Number Theory
1 Indian Journal of Pure & Applied Mathematics
1 Information Processing Letters
1 Journal d’Analyse Mathématique
1 Nuclear Physics. B
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Czechoslovak Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Geometry
1 Mathematische Zeitschrift
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Topology and its Applications
1 Bulletin of the Korean Mathematical Society
1 Combinatorica
1 Journal of Symbolic Computation
1 Journal of Theoretical Probability
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 International Journal of Mathematics
1 International Journal of Algebra and Computation
1 Geometric and Functional Analysis. GAFA
1 L’Enseignement Mathématique. 2e Série
1 Expositiones Mathematicae
1 SIAM Journal on Optimization
1 Computational Complexity
1 Journal of Mathematical Sciences (New York)
1 Kyushu Journal of Mathematics
...and 32 more Serials
all top 5

Cited in 44 Fields

246 Number theory (11-XX)
171 Information and communication theory, circuits (94-XX)
120 Group theory and generalizations (20-XX)
98 Combinatorics (05-XX)
40 Associative rings and algebras (16-XX)
38 Geometry (51-XX)
28 Quantum theory (81-XX)
26 Convex and discrete geometry (52-XX)
25 Algebraic geometry (14-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
20 Operations research, mathematical programming (90-XX)
13 Nonassociative rings and algebras (17-XX)
13 Topological groups, Lie groups (22-XX)
11 Computer science (68-XX)
10 Special functions (33-XX)
9 Numerical analysis (65-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
5 Field theory and polynomials (12-XX)
5 Commutative algebra (13-XX)
5 Functional analysis (46-XX)
5 Differential geometry (53-XX)
5 Relativity and gravitational theory (83-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Ordinary differential equations (34-XX)
3 Approximations and expansions (41-XX)
3 Abstract harmonic analysis (43-XX)
3 Integral transforms, operational calculus (44-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-XX)
3 Probability theory and stochastic processes (60-XX)
2 General and overarching topics; collections (00-XX)
2 Category theory; homological algebra (18-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year

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