Accessible Requires Authentication Published by De Gruyter September 1, 2012

Finite groups with four class sizes of elements of order divisible by at most three distinct primes

Qingjun Kong
From the journal Journal of Group Theory


Let G be a finite group and let be the set of elements of primary, biprimary and triprimary order of G. We prove the following statement: if the conjugacy class sizes of are exactly with and , then G is nilpotent and for some prime q. Some known results are generalized.

Received: 2012-05-04
Published Online: 2012-09-01
Published in Print: 2012-09-01

© 2012 by Walter de Gruyter Berlin Boston