华中师范大学学报（自然科学版）2017，Vol.51Issue(4)：423-425,3.DOI:10.19603/j.cnki.1000-1190.2017.04.001
局部化的Mp-可补性质对群构造的影响
The influence of localized Mp-supplemented properties on the structure of finite groups
摘要
Abstract
A subgroup H of G is called Mp-supplemented in G if there exists a subgroup K of G such that G =HK and HiK ＜ G for every maximal subgroup Hi of H with ｜ H ∶ Hi ｜=pa.Using the Mp-supplemented properties of some subgroups with fixed order and the nearly m-embedded properties of H-subgroups,some results about p-nilpotency and p-supersolvability of finite groups are obtained.关键词
Mp-可补子群/H-子群/Sylow子群/p-超可解群Key words
Mp-supplemented subgroup/H-subgroup/Sylow subgroup/p-supersolvable group分类
数理科学引用本文复制引用
邱慧,王惠,张佳,喻静..局部化的Mp-可补性质对群构造的影响[J].华中师范大学学报（自然科学版）,2017,51(4):423-425,3.基金项目
国家自然科学基金项目(11501235,11271016) （11501235,11271016）
安徽高校自然科学研究项目(KJ2017A569). （KJ2017A569）
