Inducing characters of prime power degree
type: Item
instance of: scholarly article
title: Inducing characters of prime power degree
zbMATH Open document ID: 0967.20005
author: Mark L. Lewis
published in: Osaka Journal of Mathematics
publication date: 2001-07-16T00:00:00Z
review text: The main result proved in this paper is the following Theorem A. Let \(G\) be a \(p\)-solvable finite group, where \(p\) is an odd prime number. Suppose \(\chi\in\text{Irr}(G)\) is a character of \(p\)-power degree less than or equal to \(p^p\). Then every primitive character inducing \(\chi\) has the same degree. This paper is to be recommended, just by its usage of several kinds of entities, like anisotropic modules, \(p\)-length theory, Brauer characters, and the like.
Mathematics Subject Classification ID: 20C15
zbMATH DE Number: 1546691
zbMATH Keywords: induced characters
zbMATH Keywords: \(p\)-solvable finite groups
zbMATH Keywords: characters of prime power degree
zbMATH Keywords: primitive characters
zbMATH Keywords: anisotropic modules
zbMATH Keywords: \(p\)-lengths
zbMATH Keywords: Brauer characters
reviewed by: Robert W. van der Waall
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1546691