講座題目：On Groups with the Same Index Set as Nilpotent Groups
主 講 人：周偉博士研究生（索伯列夫數學研究所）
講座時間：2025年7月29日16：30-17：30
講座地點：伟德bvB303
歡迎有興趣的師生前來聆聽、交流。
講座内容簡介：
In this talk, we will present two results concerning the relationship between the index set and the structure of finite groups, which together answer two open questions posed by Camina in 2006. Here, the index set refers to the set of conjugacy class sizes of a group. We construct a series of finite groups that share the same index set as nilpotent groups but have trivial center, thereby providing counterexamples to one of Camina’s questions. Moreover, we obtain a necessary and sufficient condition for an A-group to be abelian, based on its index set. This result completely resolves another question posed by Camina.
主講人簡介：
周偉，俄羅斯索伯列夫數學研究所博士研究生，主要研究方向為有限群論。目前的研究重點是有限群的共轭類大小與群結構之間的關系。