On finite groups with p-decomposable cofactors of subgroups

被引：0

作者：

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

机构：

[1] Gomel State Univ, Gomel, BELARUS

来源：

MATHEMATICAL NOTES | 2012年 / 92卷 / 3-4期

关键词：

finite group; cofactor of a subgroup; Fitting subgroup; p-decomposable subgroup; metanilpotent group;

D O I：

10.1134/S000143461209012X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that, for a finite group with p-decomposable cofactors of the maximal subgroups, the quotient group by the Fitting subgroup is p-decomposable. This implies that every group all of whose maximal subgroups have nilpotent cofactors is metanilpotent.

引用

页码：396 / 401

页数：6