摘要
有限群G的子群H称为G的条件置换子群,如果对于G的任意子群K,存在G的某个元素x,使得HKx=KxH.本文利用条件置换子群的概念研究了有限群的某些特殊子群的极大子群,得到了p-超可解群的一些充分条件.
A subgroup H of a finite group G is said to be conditionally permutable in G if for every subgroup K of G there exists an element x∈G such that HKx=KxH.In this paper,we study the maximal subgroups of some special subgroups of G by its conditionally permutable properties and some sufficient conditions are obtained about p-supersoluble group.
出处
《佳木斯大学学报（自然科学版）》
CAS
2010年第5期759-760,共2页
Journal of Jiamusi University：Natural Science Edition
基金
安徽财经大学青年科研项目(ACKYQ0927)
安徽省高校优秀青年人才基金(2010SQRW056)
关键词
条件置换子群
极大子群
SYLOW子群
P-超可解群
conditionally permutable subgroup
maximal subgroup
Sylow subgroup
p-supersoluble group
