Brauer character degrees and Sylow normalizers
type: Item
instance of: scholarly article
title: Brauer character degrees and Sylow normalizers
author: Lorenzo Bonazzi
author: Gabriel Navarro
author: Noelia Rizo
author: Lucia Sanus
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2022-10-21T00:00:00Z
review text: The main result proved by the authors is Theorem A, which may be expressed as follows: Let \(p\) and \(q\) be (not necessarily distinct) primes, and let \(G\) be a finite \(p\)-solvable group. Then the (mod \(p\)) irreducible Brauer characters of degree prime to \(q\) all have degree prime to \(p\) if and only if some Sylow \(p\)-subgroup of \(G\) is normalized by the normalizer of a Sylow \(q\)-subgroup of \(G\). The proof of this result makes use of the classification of the finite simple groups.
reviewed by: Geoffrey R. Robinson
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 7605302
zbMATH Keywords: character degrees
zbMATH Keywords: Brauer characters
zbMATH Keywords: sets of primes
MaRDI profile type: Publication
full work available at URL: s10231-022-01210-0
OpenAlex ID: W4220766235
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DOI: 10.1007/S10231-022-01210-0
description: scientific article; zbMATH DE number 7605302