On Φ-τ-Supplement Subgroups of Finite Groups  

作　　者：Xiaojian MA Yuemei MAO 

机构地区：[1]School of Mathematics and Computer, University of Datong of Shanxi [2]School of Mathematical Sciences, University of Science and Technology of China

出　　处：《Journal of Mathematical Research with Applications》2017年第3期281-289,共9页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11371335)

摘　　要：Let τ be a subgroup functor and H a p-subgroup of a finite group G. Let G= G/H_G and H= H/H_G. 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.Let τ be a subgroup functor and H a p-subgroup of a finite group G. Let G= G/H_G and H= H/H_G. 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.

关 键 词：Sylow subgroups subnormal subgroups subgroup functor p-nilpotent group Φ-τ-supplement 

分 类 号：O152.1[理学—数学]