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.
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页码：281 / 289
页数：9
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