摘要
研究了非交换的内有限单群,得到了非交换的内有限群的一些特殊性质.特别得到了:设G是由a和a′生成的非交换的内有限群,且G是类正规的,则a和a′都不是对合.
In this paper, the authors have proved several special properties of non-abelian inner-finite groups. Especially, the authors have proved the following result: Let G be a non-abelian inner-finite group and G=〈a, a′〉. If group G is pronormal, then none of a and a′ is an involution.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2004年第4期566-569,共4页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
非交换的
内有限群
极大条件
对合
non-abelian
inner-finite groups
maximal condition
involution