井冈山大学学报（自然科学版）2024，Vol.45Issue(2)：7-11,5.DOI:10.3969/j.issn.1674-8085.2024.02.002
关于循环子群数目超过一半的几乎单群
ALMOST SIMPLE GROUPS WITH MORE THAN HALF NUMBER OF CYCLIC SUBGROUPS
摘要
Abstract
Let G be a finite group,c(G)be the number of cyclic subgroups of G,and α(G)be the ratio of the number of cyclic subgroups of G to the order of the group,i.e.α(G):= c(G)/|G|.In this paper,it proves that if G is an almost simple group,i.e.S≤G≤Aut(S),in which S is a finite non-abelian simple group,then α(G)≥1/2 if and only if G≌A5,S5,S6.关键词
有限群/几乎单群/循环子群个数Key words
finite groups/almost simple groups/number of cyclic subgroups分类
数理科学引用本文复制引用
徐卫东,沈如林..关于循环子群数目超过一半的几乎单群[J].井冈山大学学报（自然科学版）,2024,45(2):7-11,5.基金项目
国家自然科学基金项目(12161035) （12161035）
