2阶子群均共轭置换的4p^2及4pq阶群  

Some groups of order 4p^2 and 4pq in which all subgroups of order 2 are conjugate- permutable subgroups

作　　者：雪君霞 

机构地区：[1]西南大学数学与统计学院,重庆北碚400715

出　　处：《重庆文理学院学报（社会科学版）》2014年第2期25-27,共3页Journal of Chongqing University of Arts and Sciences（Social Sciences Edition)

基　　金：国家自然科学基金资助项目(11271301)

摘　　要：子群H为G的共轭置换子群是指H满足对G中任意元素g均成立HgH=HHg,记为H<c-pG.本文利用共轭置换来刻画2阶子群均共轭置换的有限群,得到具有该特性的4p2及4pq阶群的结构分类.A subgroup H of a group G is called conjugate - permutable in G , if HHg = HgH , for all g E G. In this paper, the author classifies finite groups of order 4p2 and 4pq in which all subgroups of order 2 conjugate - permutable subgroups.

关 键 词：共轭置换子群 子群的共轭类 初等交换群 

分 类 号：O152.1[理学—数学]