Finite groups with Hall π-subgroups

被引：4
|
作者：
Vedernikov, V. A. [1 ]
机构：
[1] Moscow City Pedag Univ, Moscow, Russia
来源：
SBORNIK MATHEMATICS | 2012年 / 203卷 / 03期
关键词：
finite group; Hall pi-subgroup; class of groups; formation; CRITERION; CONJUGACY; EXISTENCE;
D O I：
10.1070/SM2012v203n03ABEH004225
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
New classes of finite groups with Hall pi-subgroups that have the Sylow properties are constructed and studied. The classes of groups C-pi and D-pi introduced by P. Hall are substantially extended. Necessary and sufficient conditions are established under which a finite group has Hall pi-subgroups. D-Theorems generalizing D-theorems of P. Hall, Wielandt, Baer, and Hartley are obtained.
引用
收藏
页码：326 / 350
页数：25
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