# Journal of the Ramanujan Mathematical Society

Volume 30, Issue 2, June 2015  pp. 205–218.

Irreducible adjoint representations in prime power dimensions, with an application

Authors:  Liubomir Chiriac
Author institution:California Institute of Technology, Department of Mathematics, MC 253-37, Pasadena, CA 91125

Summary:  We construct an infinite family of representations of finite groups with an irreducible adjoint action and we give an application to the question of lacunary of Frobenius traces in Galois representations.