Finite groups with four conjugacy class sizes

Autores UPV
Revista Communications in Algebra


We determine the structure of all finite groups with four class sizes when two of them are coprime numbers larger than 1. We prove that such groups are solvable and that the set of class sizes is exactly {1,m, n,mk}, where m, n > 1 are coprime numbers and k > 1 is a divisor of n. © Taylor & Francis Group, LLC.