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

页码：326 / 350

页数：25

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