Projective special linear groups $PS{L}_4(q)$ are determined by the set of their character degrees

Hung Ngoc Nguyen, Hung P. Tong-Viet, Thomas P. Wakefield

Let $G$ be a finite group and let $cd(G)$ be the set of all irreducible complex character degrees of $G$. It was conjectured by Huppert in Illinois J. Math. 44 (2000) that, for eve…