Huppert's conjecture for \(Fi_{23}\)
type: Item
instance of: scholarly article
title: Huppert's conjecture for \(Fi_{23}\)
zbMATH Open document ID: 1235.20016
DOI: 10.4171/RSMUP/126-11
author: A. Daneshkah
author: H. P. Tong-Viet
author: Seyed Hassan Alavi
author: T. P. Wakefield
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2012-02-10T00:00:00Z
full work available at URL: https://eudml.org/doc/242806
full work available at URL: http://rendiconti.math.unipd.it/volumes/vol126.php
review text: Summary: Let \(G\) denote a finite group and \(\text{cd}(G)\) the set of all irreducible character degrees of \(G\). Bertram Huppert conjectured that if \(H\) is a finite nonabelian simple group such that \(\text{cd}(G)=\text{cd}(H)\), then \(G\cong H\times A\), where \(A\) is an Abelian group. Huppert verified the conjecture for many of the sporadic simple groups. We illustrate the arguments by presenting the verification of Huppert's conjecture for \(Fi_{23}\).
Mathematics Subject Classification ID: 20C34
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20D08
zbMATH DE Number: 6005077
zbMATH Keywords: sets of character degrees
zbMATH Keywords: finite simple groups
zbMATH Keywords: Huppert conjecture
zbMATH Keywords: irreducible characters
Wikidata QID: Q123016715
describes a project that uses: Magma
MaRDI profile type: Publication
cites work: Character degree graphs that are complete graphs
cites work: The Magma algebra system. I: The user language
cites work: Q3684278
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cites work: Q3413656
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OpenAlex ID: W1981616648
description: scientific article; zbMATH DE number 6005077