讲座题目: Some developments on character codegrees

主办单位：三峡数学研究中心

报告专家:  刘洋

报告时间：2021-10-21: 10:00-11:00am

报告地点：腾讯会议

会议号: 820 664 971

专家简介：

刘洋博士2014年毕业于清华大学。现任职于天津师范大学，研究方向为有限群及其表示，目前在Acta Mathematica Sinica， Communications in Algebra等期刊发表十余篇学术论文。

摘要：

Let G be a finite group and Irr(G) the set of irreducible complex characters of G. For any χ in Irr(G), the codegree of χ is defined as |G:ker(χ)|/χ(1) and it is written as cod(χ). Recently many properties of codegree have been studied and it has been an active research field in character theory of finite groups. In this talk, I will introduce some development such as the relationship between the codegrees and the element orders, codegrees of p-groups, nonsolvable groups with few codegrees and Huppert’s conjecture of codegree version.