scholarly journals On defect groups of the Mackey algebras for finite groups

1997 ◽  
pp. 453-459
Author(s):  
Fumihito Oda
Keyword(s):  
Finite Groups ◽  
Defect Groups

A Class of Finite Groups with Abelian Sylow p-Subgroups

2006 ◽  
Vol 13 (03) ◽  
pp. 471-480
Author(s):  
Zhikai Zhang
Keyword(s):  
Finite Group ◽  
Finite Groups ◽  
Simple Groups ◽  
Finite Simple Groups ◽  
Defect Groups ◽  
Abelian Defect Groups ◽  
A Finite Group

In this paper, we first determine the structure of the Sylow p-subgroup P of a finite group G containing no elements of order 2p (p > 2), and then show that the Broué Abelian Defect Groups Conjecture is true for the principal p-block of G. The result depends on the classification of finite simple groups.

scholarly journals Cohomology algebras of 2-blocks of finite groups with defect groups of rank two

2006 ◽  
Vol 306 (2) ◽  
pp. 301-321
Author(s):  
Hiroaki Kawai ◽  
Hiroki Sasaki
Keyword(s):  
Finite Groups ◽  
Defect Groups

Defect groups for finite groups of Lie type

1971 ◽  
Vol 119 (2) ◽  
pp. 149-152 ◽  
Author(s):  
James E. Humphreys
Keyword(s):  
Finite Groups ◽  
Defect Groups ◽  
Groups Of Lie Type
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