| 高彦伟,曹洪平,陈贵云.散在单群的一个新刻画[J].数学年刊A辑,2016,37(1):109~114 |
| 散在单群的一个新刻画 |
| A New Characterization of Sporadic Simple Groups |
| Received:June 03, 2013 Revised:April 27, 2015 |
| DOI： |
| 中文关键词: 有限群, 散在单群, 最高阶元的阶 |
| 英文关键词:Finite group, Sporadic simple group, The largest
element order |
| 基金项目:本文受到国家自然科学基金(No.11271301, No.11171364, No.11471226), 河南省高等学校重点科研项目资助计划(No.16A110036)和信阳师范学院青年科研基金(No.2015-QN-33)
的资助. |
| Author Name | Affiliation | | Gao Yanwei | The Personnel Derpartment, Xinyang Normal University,
Xinyang 464000, Henan, China. | | CAO Hongping | Corresponding author. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China. | | CHEN Guiyun | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China. |
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| 中文摘要: |
| 设 $G$ 是一个有限群,\!\!$K_1(G)$ 表示 $G$ 的最高阶元的阶. 证明了每一个散在单群 $G$ 均可被 $|G|$ 和 $K_1(G)$ 唯一刻画. |
| 英文摘要: |
| Let $G$ be a finite group, and $K_{1}(G)$ denote the largest element
order of $G$. It is shown that each sporadic simple
group $G$ can be uniquely determined by $|G|$ and $K_{1}(G)$. |
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