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Topic: On weaker quantitative characterizationof finite nonabelian simple groups.

 

Speaker: Jinbao Li (Department of Mathematics, Chondqing University of Arts and Scences, Chongping, China)

 

Time: October 26, 20214 p.m. by Yekaterinburg7 p.m. by Beijing

 

Zoom link:

https://us02web.zoom.us/j/81759527197?pwd=RGRtVjdKOVlENks4VmhFQW02Ukdkdz09

Meeting ID: 817 5952 7197

Passcode: 418337

 

Abstract. In the past forty years, several kinds of quantitative characterizations of finite groups especially finite simple groups have been investigated by many mathematicians, such as quantitative characterizations by group order and element orders, by element orders alone, by the set of sizes of conjugacy classes, by dimensions of irreducible characters, by the set of orders of maximal abelian subgroups. In this talk, we will introduce some weaker quantitative characterizations of finite nonabelian simple groups by their orders together with some special quantitative properties such as the largest element orders, the largest conjugacy class sizes and the number of prime-order elements.


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