LAN Lin,HAN Zhangjia,SHI Huaguo.A Characterization of Some K3-Simple Groups[J].Journal of Chengdu University of Information Technology,2024,39(04):494-498.[doi:10.16836/j.cnki.jcuit.2024.04.016]
几个单K3-群的一个新刻画
- Title:
- A Characterization of Some K3-Simple Groups
- 文章编号:
- 2096-1618(2024)04-0494-05
- Keywords:
- finite groups; even order component; centernizer of elements
- 分类号:
- O152.1
- 文献标志码:
- A
- 摘要:
- 设G是有限群,π(G)为G的阶的素因子的集合,pm为π(G)的最大元。πpm(G)表示群G的pm阶元中心化子的阶的集合。利用群的偶阶分量与集合πpm(G)给出了单K3-群的一个数量刻画。
- Abstract:
- Let G be a finite group, π(G) denotes the set of prime divisors of |G|, pm is the largest element of π(G), and πpm(G) denotes the set of orders of centernizer of elements of order pm in G. In this paper, we give a characterization property for some K3 simple groups by its even order component and the set πpm(G).
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备注/Memo
收稿日期:2023-03-23
基金项目:国家自然科学基金资助项目(12061030)
通信作者:韩章家.E-mail:hzjmm11@163.com