On Φ-τ-Supplement Subgroups of Finite Groups

被引：1

作者：

Xiaojian MA ^{[1
]}

Yuemei MAO ^{[1
,2
]}

机构：

[1] School of Mathematics and Computer, University of Datong of Shanxi

[2] School of Mathematical Sciences, University of Science and Technology of China

来源：

Journal of Mathematical Research with Applications | 2017年 / 37卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Sylow subgroups; subnormal subgroups; subgroup functor; p-nilpotent group; Φ-τ-supplement;

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

070104 ;

摘要：

Let τ be a subgroup functor and H a p-subgroup of a finite group G. Let G= G/Hand H= H/H. We say that H is Φ-τ-supplement in G if G has a subnormal subgroup T and a τ-subgroup S contained in H such that G=H T and H∩T≤SΦ(H). In this paper,some new characterizations of hypercyclically embedability and p-nilpotency of a finite group are obtained based on the assumption that some primary subgroups are Φ-τ-supplement in G.

引用

页码：281 / 289

页数：9

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