WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
On an Extension of Camina′s Theorem on Conjugacy Class Sizes
Author:
Abstract: Let G be a finite group. We extend Alan Camina′s theorem on conjugacy class sizes which asserts that if the conjugacy class sizes of G are exactly {1; pa; qb; paqb}, where p and q are two distinct primes and a and b are integers, then G is nilpotent.