Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904918 | Advances in Mathematics | 2018 | 11 Pages |
Abstract
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 pep(G) divides Ï(1) for some ÏâIrr(G). We show that |G:F(G)|pâ¤pkep(G) for a constant k. This settles a conjecture of A. Moretó [13, Conjecture 4]. We also study the related problems of the p-parts of conjugacy class sizes of finite groups.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yong Yang, Guohua Qian,