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| 非交换子群共轭类的一个注记 | |
| 引用本文： | 孟伟,马丽. 非交换子群共轭类的一个注记[J]. 云南民族大学学报(自然科学版), 2015, 24(1): 34-36 |
| 作者姓名： | 孟伟 马丽 |
| 作者单位： | 1. 云南民族大学数学与计算机科学学院,云南昆明,650031 2. 曲靖师范学院数学与信息科学学院,云南曲靖,655011 |
| 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. |
| 关 键 词： | 交换子群 共轭类 同构分类 |
A note on conjugacy classes of non-abelian subgroup |
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| MENG Wei,MA Li. A note on conjugacy classes of non-abelian subgroup[J]. Journal of Yunnan Nationalities University:Natural Sciences Edition, 2015, 24(1): 34-36 | |
| Authors: | MENG Wei MA Li |
| Affiliation: | ,School of Mathematics and Computer Science,Yunnan Minzu University,College of Mathematics and Information Science,Qujing Normal University |
| Abstract: | 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) |-2or | 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. |
| Keywords: | abelian subgroup conjugacy class automorphism classification |
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