On a question of Feit concerning character values of finite solvable groups
type: Item
instance of: scholarly article
title: On a question of Feit concerning character values of finite solvable groups
zbMATH Open document ID: 0558.20008
author: Gideon Amit
author: David Chillag
published in: Pacific Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Let \(\chi\) be an irreducible character of a finite group G and let f be the smallest integer such that \(\{\) \(\chi\) (x)\(| x\in G\}\subseteq Q(1^{1/f})\). The question raised by W. Feit is: Does G contain an element of order f. In this article we give an affirmative answer to the question for solvable groups. The proof uses the character correspondence theory of solvable groups.
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 3889778
zbMATH Keywords: irreducible character
zbMATH Keywords: solvable groups
zbMATH Keywords: character correspondence
MaRDI profile type: Publication
full work available at URL: pjm.1986.122.257
OpenAlex ID: W2039845742
DOI: 10.2140/PJM.1986.122.257
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description: scientific article; zbMATH DE number 3889778