摘要
本文综述了用“元素的阶之集”和“两个阶”(群的阶和元素的阶之集)刻画有限单群、研究有限群的工作,讨论它的相关课题、应用及推广.
In this paper,we summarize the work on the characterization of finite simple groups and the study on finite groups with"the set of element orders"and"two orders"(the set of group orders and the set of element orders).Some related topics,and the applications together with their generalizations are also discussed.
出处
《中国科学：数学》
CSCD
北大核心
2023年第7期931-952,共22页
Scientia Sinica：Mathematica
基金
国家自然科学基金(批准号:11171364和11271301)资助项目。
关键词
有限群
群的阶
元素的阶
有限单群分类定理
finite group
group orders
element orders
classification theorem of finite simple groups
