Characterization of finite groups by the set of conjugacy classes sizes
报告人：Ilya Gorshkov(Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia)
时间：2025-4-23 14:30 - 15:30
地点：Zhihua Building 412
Abstract: In the theory of finite groups, the Thompson conjecture on the characterization of finite simple groups within the class of centerless groups by the set of sizes of their conjugacy classes is well-known. Recently, a positive answer to this
conjecture has been obtained. The next obvious step is to ask which finite groups are characterized within the class of centerless groups by the set of sizes of their conjugacy classes, without assuming they are simple. The talk plans to provide an
overview of the existing results on this topic.
