Influence of <Emphasis Type="Italic">M</Emphasis><Subscript><Emphasis Type="Italic">p</Emphasis></Subscript>-supplemented subgroups on the structure of <Emphasis Type="Italic">p</Emphasis>-modular subgroups期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Influence of Mp-supplemented subgroups on the structure of p-modular subgroups

Authors:	B.?Gao,L.?Miao author-information" > author-information__contact u-icon-before" > mailto:lmiao@yzu.edu.cn" title=" lmiao@yzu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,J.?Tang

Affiliation:	1.School of Mathematics and Statistics,Yili Normal University,Yining,People’s Republic of China;2.School of Mathematical Sciences,Yangzhou University,Yangzhou,People’s Republic of China;3.Wuxi Institute of Technology,Wuxi,People’s Republic of China

Abstract:	A subgroup K of G is M _p-supplemented in G if there exists a subgroup B of G such that G = KB and TB < G for every maximal subgroup T of K with \|K: T\| = p ^α. We study the structure of the chief factor of G by using M _p-supplemented subgroups and generalize the results of Monakhov and Shnyparkov by involving the relevant results about the p-modular subgroup O ^p(G) of G.

Keywords:
本文献已被 SpringerLink 等数据库收录！