Finite groups whose all irreducible character degrees are Hall-numbers.
type: Item
instance of: scholarly article
title: Finite groups whose all irreducible character degrees are Hall-numbers.
zbMATH Open document ID: 1114.20008
author: Guohua Qian
author: Shi Wujie
author: Dengfeng Liang
published in: Journal of Algebra
publication date: 2007-02-14T00:00:00Z
review text: This paper studies finite groups \(G\) with the property that each irreducible (complex) character degree \(m\) of \(G\) satiesfies \((m,|G|/m)=1\), and the structure of such groups is described in some detail. In particular, using CFSG it is proved that if in addition \(G\) is nonabelian simple, then \(G\cong L_2(2^f)\) with \(f\geq 2\).
reviewed by: Thomas Michael Keller
Mathematics Subject Classification ID: 20D20
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D05
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 5126075
zbMATH Keywords: finite groups
zbMATH Keywords: character degrees
zbMATH Keywords: Hall numbers
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2006.10.010
OpenAlex ID: W2033366062
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DOI: 10.1016/J.JALGEBRA.2006.10.010
description: scientific article; zbMATH DE number 5126075