Vol. 8, No. 2, 2014

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Groups with exactly one irreducible character of degree divisible by $p$

Daniel Goldstein, Robert M. Guralnick, Mark L. Lewis, Alexander Moretó, Gabriel Navarro and Pham Huu Tiep

Vol. 8 (2014), No. 2, 397–428
Abstract

Let $p$ be a prime. We characterize those finite groups which have precisely one irreducible character of degree divisible by $p$.

Keywords
finite groups, characters, character degrees
Primary: 20C15