| 摘要: |
| 令G是一个有限群,P是一个固定奇素数.M<G表示M是G的真子群.记J2(G)={M:M<G,|G:M|非素数幂,且|G:M|p=1}.本文讨论当J2(G)的元皆为幂零群时G的结构. |
| 关键词: 有限群 幂零群 构造 |
| DOI： |
| 投稿时间：1993-09-25 |
| 基金项目:国家自然科学基金 |
|
| Finite Groups with a Class of Nilpotent Subgroups |
|
Li Shirong
|
| (Guangxi University, Xixiangtang Road, Nanning, Guangxi, 530004) |
| Abstract: |
| Let G be a finite group and let p be an odd prime.We denote by M<G that M is a proper subgroup Of G. Put J2(G)={M:M<G,|G:M|is not a prime power and|G:M|p=1}.In this paper we investigate the structure of G if every element of J2(G) is nilpotent. |
| Key words: finite group nilpotent group structure |
