报告名称：Schurity of association schemes whose thin residues are elementary abelian p-groups of rank 2

报告专家：陈刚

专家所在单位：华中师范大学

报告时间：2021年5月27日16：30-18：30

报告地点：数学与统计学学院603

专家简介：陈刚，华中师范大学数学与统计学学院教授，博士生导师，武汉大学获得博士学位，主持国家项目四项，主要研究群论、有限群的表示论及其相关推广，发表高水平文章15篇。

报告摘要：The schurity of association schemes has been studied in many papers. One of the major topics is to investigate the schurity of those association schemes whose thin residues are thin. A difficult case is that the thin residue is an elementary abelian p-group of rank 2. A class of these association schemes has played an important role in the study of p-schemes of order p3. In this paper, we study the automorphism groups and schurity problem of this class of association schemes. In particular, we will establish very simple sufficient (and necessary) conditions for these association schemes to be schurian. As an application, we obtain two infinite families of schurian association schemes. This is joint work with Bangteng Xu

邀请人：徐行忠

（审稿：郑大彬）