On a question of Feit concerning character values of finite solvable groups

Gideon Amit and David Chillag

Vol. 122 (1986), No. 2, 257–261

DOI: 10.2140/pjm.1986.122.257

Abstract

Let χ be an irreducible character of a finite group G and let f be the smallest integer such that {χ(x)|x ∈ G}⊆ Q(). The question raised by W. Feit is: Does G contain an element of order f. In this article we given an affirmative answer to the question for solvable groups.

Mathematical Subject Classification 2000

Primary: 20C15

Secondary: 20D10

Milestones

Received: 7 December 1984

Revised: 9 July 1985

Published: 1 April 1986