报告名称:On normal automorphisms of groups
报告专家:徐涛
专家所在单位:河北工程大学
报告时间:2021年6月28日:9:00-11:00
报告地点:永利集团88304官网602室
专家简介:徐涛,男,博士,河北工程大学数理学院副教授,硕士生导师。已在中国科学、数学学报、数学年刊,Journal of Algebra and Its Applications,Czechoslovak Mathematical Journal等国内外重要学术期刊上发表论文20余篇。2021年获河北省第二届数学会青年学术奖二等奖。
报告摘要:Let $G$ be a group and $\mbox{Aut}_{n}(G)$ the group of its normal automorphisms. If $G$ has a normal series whose factors are all abelian groups with Pr\"{u}fer rank at most $1$, then $\mbox{Aut}_{n}(G)$ is soluble, which extends a result of Endimioni. Moreover, an upper bound of the order of $\mbox{Aut}_{n}(G)$ of a finite $p$-group $G$ is given.
邀请人:刘合国
(审稿:郑大彬)