Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414573 | Journal of Algebra | 2015 | 22 Pages |
Abstract
Let acd(G) and acs(G) denote the average irreducible character degree and the average conjugacy class size, respectively, of a finite group G. The main objective of this paper is to find the lower bounds of acd(G) and acs(G) for a non-r-solvable group G where r is a prime. We show that PSL(2,r), where râ¥5, is a non-r-solvable group with the smallest average character degree and the smallest average class size.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Guohua Qian,