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.
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页码：411 / 422
页数：12
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