摘要
设G是有限群,G的子群H称为G的半CAP-子群,如果存在G的一个主群列1 =G0■G1 …■Gn-1■Gn=G使得H覆盖或者避开Gi/Gi-1,其中i=1,2,…,n.本文主要讨论极小子群和4阶循环子群的半覆盖-避开性对有限群结构的影响.
Let G be a finite group.A subgroup H of G is said to be a semi CAP-subgroup of G if there exists a chief series 1=G0△←G1△← …△←Gn-1△←Gn=G such that for every i=1,2,…,n,either H covers Gi/Gi-1 or H avoids Gi/Gi-1.The purpose here is to study the influence of semi cover-avoiding properties of some minimal subgroups and some cyclic subgroups of order 4 on the structure of finite groups.
出处
《苏州大学学报（自然科学版）》
CAS
2008年第2期1-6,共6页
Journal of Soochow University(Natural Science Edition)
基金
the NNSF of China(10571128)
Suzhou City Senior Talent Supporting Project
关键词
极小子群
CAP-子群
P-幂零
群系
minimal subgroup
semi CAP-subgroup
p-nilpotent
formation
