On the solvability of groups with four class sizes

Autores UPV
Año
Revista JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Abstract

It is shown that if the set of conjugacy class sizes of a finite group G is {1,m,n,mn}, where m, n are positive integers which do not divide each other, then G is up to central factors a {p,q}-group. In particular, G is solvable.