报告题目：Finite groups with pronormality in maximal subgroups of even order

报 告 人： 刘建军

报告摘要：Let G be a finite group. A subgroup H of a group G is called pronormal in G if the subgroups H and Hg are conjugate in ⟨H, Hg⟩ for each g∈G. This talk investigates groups G in which every maximal subgroup of even order is a PRN-group-that is, all of its minimal subgroups (of prime order or order 4) are pronormal. We establish that any such group G, if it is itself a non-PRN-group, must be solvable and its order can be divisible by at most three distinct primes. Furthermore, a complete structural characterization is provided.

报告人简介：刘建军，西南大学数学与统计学院副教授，硕士研究生导师，研究方向为有限群论。先后在 《Journal of Algebra》、《Journal of Pure and Applied Algebra》及《Communications in Algebra》等刊物上发表学术论文30余篇。主持国家自然科学基金青年项目、中国博士后基金、重庆市自然科学基金、重庆市博士后基金和中央高校基本科研等项目。现为美国《数学评论》的评论员。

报告时间： 2025.10.31 8：30-11：30

报告地点： 腾讯会议 523244674

报告邀请人：江静

主办单位：数学学院

初审：陈凤芹

复审：刘春晗

终审：郑延亮