A class of finite groups with Abelian Sylow p-subgroups

被引：0
|
作者：
Zhang, ZK [1 ]
机构：
[1] Peking Univ, Sch Math Sci, LAMA, Beijing 100871, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2006年 / 13卷 / 03期
关键词：
prime graph; the Broue conjecture; principal p-block;
D O I：
10.1142/S1005386706000411
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Broue Abelian Defect Groups Conjecture is true for the principal P-block of G. The result depends on the classification of finite simple groups.
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页码：471 / 480
页数：10
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