NEW CRITERIONS OF EXISTENCE AND CONJUGACY OF HALL SUBGROUPS OF FINITE GROUPS

被引：15

作者：

Guo, Wenbin ^{[1
]}

Skiba, Alexander N. ^{[2
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

[2] Francisk Skorina Gomel State Univ, Dept Math, Gomel 246019, BELARUS

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 07期

关键词：

Sylow subgroup; Hall subgroup; pi-separable group; permutable subgroups; C-pi-group;

D O I：

10.1090/S0002-9939-2010-10675-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, new criterions for existence and conjugacy of Hall subgroups of finite groups are given. In particular, the Schur-Zassenhaus theorem, Hall theorem and Cunihin theorem are generalized.

引用

页码：2327 / 2336

页数：10

共 11 条

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[2]

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Shum, K. P. ;

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[5]

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[6]

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[8]

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[9]

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[10]

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