Finite Groups with Irreducible Projective Representations of Large Degree

Abstract

In this article, we will investigate finite groups G that possess a 2-cocycle for which all the complex irreducible projective representations have the same degree. We will show that, provided the number of such inequivalent irreducible projective representations is relatively small compared to the order of G, then the degree equality property is inherited by all the Sylow subgroups of G.