Some simple groups which are determined by the set of their character degrees. I
type: Item
instance of: scholarly article
title: Some simple groups which are determined by the set of their character degrees. I
zbMATH Open document ID: 0972.20006
author: Bertram Huppert
published in: Illinois Journal of Mathematics
publication date: 2001-08-23T00:00:00Z
review text: Let \(G\) be one of the finite simple groups \(L_2(2^f)\) or \(Sz(2^f)\). The author proves that every finite group whose set of degrees of the irreducible ordinary characters coincides with that of \(G\) is isomorphic to the direct product of \(G\) and an Abelian group. He also proposes the conjecture that the same holds for an arbitrary finite simple group \(G\).
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D06
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 1553604
zbMATH Keywords: finite simple groups
zbMATH Keywords: character tables
zbMATH Keywords: projective special linear groups
zbMATH Keywords: Suzuki groups
zbMATH Keywords: character degrees
reviewed by: V. D. Mazurov
MaRDI profile type: Publication
Recommended article: Some simple groups which are determined by the set of their character degrees. II.
Recommended article: Some simple groups which are determined by their character degree graphs
Recommended article: Simple groups with few irreducible character degrees
Recommended article: Character degrees of simple groups
Recommended article: Q3762486
Recommended article: Finite groups with a given set of character degrees.
Recommended article: Alternating and sporadic simple groups are determined by their character degrees.
Recommended article: Simple classical groups of Lie type are determined by their character degrees.
Recommended article: Simple exceptional groups of Lie type are determined by their character degrees.
Recommended article: Q5754109
description: scientific article; zbMATH DE number 1553604