题目：On p parts of character degrees
主讲人：Yong Yang (Texas State University德克萨斯州立大学)
报告摘要：Let G be a finite group and Irr(G) the set of irreducible complex characters of G. Let ep(G) be the largest integer such that p^ep(G) dividesχ(1) for someχ ∈Irr(G). We show that |G :F(G)|p≤p^(kep(G)) for a constant k. This settles a conjecture of A. Moretó.
In this talk, we discuss some recent developments on how the p-parts of character degrees affect the group structure.
主讲人简介：Yong Yang is currently an associate professor at the mathematics department of Texas State University.Heisalso a Bayu Scholar distinguished professor at Chongqing UniversityofArts and Sciences. He received his PhD in 2009 from University of Florida under Alexandre Turull. He has published more than 50 high quality research papers, and his research interests are in finite groups and group representations, combinatorics, and number theory. He became a mathematical reviewer of Mathematical Reviews in 2013. He is the Chair of AMS JMM Travel Grants Committee from 2018, the Program Director of NSF REU Site and an editor of the journal Bulletin of the Iranian Mathematical Society. He is a referee for journals Journal of Algebra, Finite Fields and their Applications, Journal of Group Theory, Communications in Algebra, Journal of Algebra and it Applications, etc.