报告题目：On finite power simple groups

报告人：孟伟 教授 桂林电子科技大学

报告时间：2026年8月26日15:30-16:30 

报告地点：腾讯会议号：309 957 481 

报告摘要：Let $G$ be a group and $H$ be a subgroup of $G$. $H$ is called a power subgroup of $G$ if there exists a non-negative integer $m$ such that $H=G^m$, where $G^m=\langle g^m\mid g\in G\rangle$. In this talk, a group $G$ is called a power simple group if $G$ has only trivial power subgroup. The basic properties of finite power simple groups are investigated. Furthermore, we prove that $G$ is a solvable power simple group if and only if $G$ is a $p$-group with $\exp(G)=p$. We also determine one special case of non-solvable power simple groups without non-trivial direct product factors.    

报告人简介：孟伟, 博士，桂林电子科技大学教授，博士生导师，研究方向为：群与代数结构。入选广西千名中青年骨干教师第五批培养计划，广西“八桂之光”访问学者计划。主持国家自然科学基金项目3项，广西自然科学基金项目2项。在Communications in Algebra， Journal of Algebraic Combinatorics, Journal of algebra and its applications,中国科学：数学等国内外学术期刊上发表论文40余篇。 

报告邀请人：王新甜