On a question of Feit concerning character values of finite solvable groups
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.
scientific article; zbMATH DE number 3889778