学术报告一

学术报告二

报告题目：The exact factorizations of almost simple groups, and Cayley graphs of simple groups

报告人：王磊博士（云南大学）

报告时间：2021年6月28日（星期一）下午3:30-4:30

报告地点：25教1802

参加人员：研究生、教师

摘要This paper presents a classification of exact factorizations of almost simple groups, which has been a long-standing open problem initiated around 1980 by the work of Wiegold-Williamson (1980), and significantly progressed by Liebeck, Praeger and Saxl in 2010. The classification is then used to solve several other problems, namely, to confirm a conjecture of Etingof, Gelaki, Guralnick and Saxl in 2000 on bicrossproduct Hopf algebras, to classify quasiprimitive permutation groups containing a regular simple subgroup, and to characterize highly transitive Cayley graphs of simple groups, which shows that $3$-arc transitive Cayley graphs of simple groups are surprisingly rare.

王磊，博士毕业于云南大学，导师是李才恒教授，北京大学国际数学中心博士后，导师是张继平院士，研究方向为置换群与李型单群，现为云南大学数学与统计学院教师。