非交换子群共轭类的一个注记
A note on conjugacy classes of non-abelian subgroup
云南民族大学学报:自然科学版,2015,24(1):34-36

孟伟 MW

摘要


设G是有限群. 用τ(G)表示G中非交换子群的共轭类数, π(G)表示G的素因子的集合.对于每个非交换群有τ(G)≥2|π(G)|-2或|π(G)|+1.分析上述不等式中等号成立的有限群的分类. Let G be a finite group and τ(G)denote the number of conjugacy classes of all non-abelian subgroups of G.The symbol π(G)denotes the set of the prime divisors of G.In which paper,Finite groups with few non-abelian subgroups, shows τ(G)≥2|π(G)|-2 or |π(G)|+1 for every non-abelian group G,and determines the classification of the finite groups when an equality holds in the above-mentioned inequalities.

参考



全文: PDF      下载: 1451      浏览: 342


counter for myspace
云南民族大学学报(自然科学版) 1991—2016 Copyright
地址:云南省昆明市一二.一大街134号 邮编:650031 全国邮发代号:64-47
电话:0871-65132114 传真:0871-65137493 Email:ynmzxyxb@163.com