題目：On p parts of character degrees

時(shí)間：北京時(shí)間2020年12月6日上午10：00

地點(diǎn)：https://txstate.zoom.us/j/97791535907

主講人：Yong Yang (Texas State University德克薩斯州立大學(xué))

報(bào)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.

主講人簡(jiǎn)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.

2020年12月2日