曲阜师范大学学报（自然科学版）2025，Vol.51Issue(2)：31-32,2.DOI:10.3969/j.issn.1001-5337.2025.2.031
关于共轭类长定理的注解
A note on a theorem on conjugacy class sizes
摘要
Abstract
Let G be a finite group and assume that the conjugacy class sizes of all elements of primary orders and {p,q }-elements of G are exactly {1,pa,n,pan } with(p,n)=1,where p is a fixed prime,q is an arbitrary prime,a and n are positive integers.If there is a p-element in G whose index is precisely pa,then G is nilpotent and n=qb for some prime q≠p.关键词
幂零群/共轭类长/有限群Key words
conjugacy class sizes/nilpotent groups/finite groups分类
数学引用本文复制引用
史孟佼,孔庆军..关于共轭类长定理的注解[J].曲阜师范大学学报（自然科学版）,2025,51(2):31-32,2.基金项目
国家自然科学基金(11301378) （11301378）
天津市教委科研项目(2019KJ027). （2019KJ027）
