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.
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页码：181 / 188
页数：8
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