Characters of p′-degree in solvable groups

Thomas R. Wolf

Vol. 74 (1978), No. 1, 267–271

DOI: 10.2140/pjm.1978.74.267

Abstract

We prove that |I_p(G)| = |I_p(N(P))| for P ∈ Syl (G), for solvable G. Here p is a prime and I_p(G) is the set of irreducible characters ψ such that (ψ(1),p) = 1.

Mathematical Subject Classification 2000

Primary: 20C15

Milestones

Received: 17 January 1977

Published: 1 January 1978