完全条件置换子群与有限群结构  

The Influence of Completely Conditionally Permutable Subgroups on the Structure of Finite Groups

作　　者：胡玉生[1] 王丽丽[1] 

机构地区：[1]安徽财经大学统计与应用数学学院,安徽蚌埠233030

出　　处：《山西师范大学学报（自然科学版）》2007年第3期1-4,共4页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10471085);上海市浦江人才基金(05PJ14046)

摘　　要：有限群G的子群H称为G的完全条件置换子群,如果对于G的任一子群K,存在〈H,K〉的某个元素x,使得HKx=KxH.本文利用完全条件置换子群的概念研究有限群的超可解性的问题,获得了一些结果.A subgroup H of a finite group G is said to be completely conditionally permutable in G if for every subgroup K of G there exists an element x Е （ H, K） such that HK^x = K^XH. In this paper, some new results are obtained according to the completely conditional permutability of some subgroups.

关 键 词：完全条件置换子群 极大子群 极小子群 

分 类 号：O152.1[理学—数学]