On Blocks with Abelian Defect Groups of Small Rank

被引：5

作者：

Sambale, Benjamin ^{[1
]}

机构：

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

来源：

RESULTS IN MATHEMATICS | 2017年 / 71卷 / 1-2期

关键词：

Blocks; Abelian defect groups; Defect; 3; Brauer's k(B)-Conjecture; FINITE-GROUPS; SOLVABLE-GROUPS; CHARACTERS; CONJECTURE; ALGEBRAS; ORBITS;

D O I：

10.1007/s00025-016-0557-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let B be a p-block of a finite group with abelian defect group D. Suppose that D has no elementary abelian direct summand of order p (4). Then, we show that B satisfies Brauer's k(B)-Conjecture (i.e. ). Together with former results, it follows that Brauer's k(B)-Conjecture holds for all blocks of defect at most 3. We also obtain some related results.

引用

页码：411 / 422

页数：12

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