乘积因子群的共轭类长与有限群结构  

Lengths of Conjugacy Classes of Factorized Groups and Structures of Finite Groups

作　　者：石向东[1] 韦华全[2,3] 马儇龙[3] 

机构地区：[1]梧州学院数理系,广西梧州543002 [2]广西大学数学与信息科学学院,广西南宁530004 [3]广西师范学院数学科学学院,广西南宁530023

出　　处：《郑州大学学报（理学版）》2013年第2期10-13,共4页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号10961007;11161006;广西省自然科学基金资助项目;编号0991101;0991102

摘　　要：设G是有限群,A和B都是其子群.若G=AB,则称G为乘积因子群.研究乘积因子群中某些元素的共轭类长对有限群的可解性、超可解性和p-幂零性的影响,所得结果推广了若干相关的新近结果.Let G be a finite group, and A, B be its subgroups. If G = AB, then G was called a factorized group. The influences of lengths of eonjugacy classes of some elements in factorized groups on the solvability, supersolvability and p-nilpotency of finite groups were studied. Some recent related results were generalized.

关 键 词：有限群 共轭类长 可解 超可解 P-幂零 

分 类 号：O152.1[理学—数学]