Finite groups with decomposable cofactors of maximal subgroups

被引：0

作者：

Lemeshev, I. V. ^{[1
]}

Monakhov, V. S. ^{[1
,2
]}

机构：

[1] Francisk Skorina Gomel State Univ, Gomel, BELARUS

[2] Francisk Skorina Gomel State Univ, Physicomath Sci, Gomel, BELARUS

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2011年 / 17卷 / 04期

关键词：

finite group; p-solvable group; maximal subgroup; cofactor;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite group with a nilpotent pi-Hall subgroup and pi-decomposable cofactors of maximal subgroups is studied. It is established that the quotient of this group by the Fitting subgroup is pi-decomposable, which implies that a finite group with nilpotent cofactors of maximal subgroups is metanilpotent.

引用

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页码：181 / 188

页数：8

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