2-BLOCKS WITH MINIMAL NONABELIAN DEFECT GROUPS III

被引：5

作者：

Sambale, Benjamin ^{[1
]}

机构：

[1] TU Kaiserslautern, Fachbereich Math, D-67653 Kaiserslautern, Germany

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2016年 / 280卷 / 02期

关键词：

minimal nonabelian defect groups; perfect isometries; isotypies; HEIGHT ZERO; CHARACTERS; BLOCKS; NUMBER;

D O I：

10.2140/pjm.2016.280.475

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that two 2-blocks of (possibly different) finite groups with a common minimal nonabelian defect group and the same fusion system are isotypic (and therefore perfectly isometric) in the sense of Broue. This continues former work by Cabanes and Picaronny (J. Fac. Sci. Univ. Tokyo Sect. IA Math. 39: 1 (1992), 141-161), Sambale (J. Algebra 337 (2011), 261-284) and Eaton et al. (J. Group Theory 15: 3 (2012), 311-321).

引用

页码：475 / 487

页数：13

共 49 条

[21] On Blocks with Abelian Defect Groups of Small Rank
Sambale, Benjamin
RESULTS IN MATHEMATICS, 2017, 71 (1-2) : 411 - 422
[22] ON THE NUMBER OF ORDINARY IRREDUCIBLE CHARACTERS IN A p-BLOCK WITH A MINIMAL NONABELIAN DEFECT GROUP
Gao, Sheng
Zeng, Ji-wen
COMMUNICATIONS IN ALGEBRA, 2011, 39 (09) : 3278 - 3297
[23] 2-blocks with abelian hyperfocal subgroup of rank 3
Hu, Xueqin
Zhou, Yuanyang
JOURNAL OF ALGEBRA, 2019, 529 : 1 - 15
[24] Blocks with extraspecial defect groups of finite quasisimple groups
An, Jianbei
Eaton, Charles W.
JOURNAL OF ALGEBRA, 2011, 328 (01) : 301 - 321
[25] On Brauer's k(B)-problem for blocks with metacyclic defect groups of odd order
Gao, Sheng
ARCHIV DER MATHEMATIK, 2011, 96 (06) : 507 - 512
[26] DEFECT 2 SPIN BLOCKS OF SYMMETRIC GROUPS AND CANONICAL BASIS COEFFICIENTS
Fayers, Matthew
REPRESENTATION THEORY, 2022, 26 : 134 - 178
[27] Blocks with abelian defect groups of rank 2 and one simple module
Hu, Xueqin
JOURNAL OF ALGEBRA, 2020, 559 : 496 - 509
[28] THE ALPERIN-MCKAY CONJECTURE FOR METACYCLIC, MINIMAL NON-ABELIAN DEFECT GROUPS
Sambale, Benjamin
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (10) : 4291 - 4304
[29] Real subpairs and Frobenius-Schur indicators of characters in 2-blocks
Murray, John
JOURNAL OF ALGEBRA, 2009, 322 (02) : 489 - 513
[30] On Blocks with Abelian Defect Groups of Small Rank
Benjamin Sambale
Results in Mathematics, 2017, 71 : 411 - 422

← 1 2 3 4 5 →