On Huppert's conjecture for the Monster and Baby Monster.
type: Item
instance of: scholarly article
title: On Huppert's conjecture for the Monster and Baby Monster.
zbMATH Open document ID: 1260.20020
author: H. P. Tong-Viet
author: T. P. Wakefield
published in: Monatshefte für Mathematik
publication date: 2012-10-15T00:00:00Z
review text: Huppert's conjecture states that if \(G\) is a finite group and \(H\) is a non-Abelian simple group with \(\mathrm{cd}(G)=\mathrm{cd}(H)\), then \(G\) is isomorphic to \(H\times A\), where \(A\) is Abelian and \(\mathrm{cd}(G)\) denotes the set of irreducible character degrees of \(G\). In previous papers B. Huppert, S. H. Alavi, A. Daneshkhah, H. P. Tong-Viet and T. Wakefield verified the conjecture for all the sporadic simple groups except the Monster and the Baby Monster. In the paper under review the authors verify the conjecture for the Monster and the Baby Monster as well.
reviewed by: M. R. Darafsheh
Mathematics Subject Classification ID: 20C34
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 6093483
zbMATH Keywords: sets of character degrees
zbMATH Keywords: finite simple groups
zbMATH Keywords: Huppert conjecture
zbMATH Keywords: irreducible characters
zbMATH Keywords: sporadic simple groups
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: s00605-011-0309-1
OpenAlex ID: W2025090799
Wikidata QID: Q122900785
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DOI: 10.1007/S00605-011-0309-1
description: scientific article; zbMATH DE number 6093483