摘要
设群G为有限群,称群G的子群H为Hall s-半嵌入子群,若对任意的素数p满足p||G|,只要(p,|H|)=1,就有H为〈H,P〉的Hall子群,其中P∈Syl_p(G).利用Hall s-半嵌入子群和极小子群得到有限群为p-幂零群的若干新判定方法.
Let G be a finite group. A subgroup H of G is called a Hall s-semiembedded subgroup of G, if for any prime p with P ｜｜G｜, H is a Hall subgroup of （H,P）, where P is a Sylow p-subgroup of G with （p, ｜ H｜） =1. In this paper, it is obtained that some new results about the p-nilpotency of G under the assumptions that some minimal subgroups of G are Hall s-semiem- bedded in G.
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
2015年第4期1-4,共4页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(11171243)
江苏省普通高校研究生科研创新计划资助项目(KYLX-1212)
