Recognition by spectrum for finite simple groups of Lie type.
type: Item
instance of: scholarly article
title: Recognition by spectrum for finite simple groups of Lie type.
zbMATH Open document ID: 1153.20010
author: Shi Wujie
author: Andrey Vasil'ev
author: Mariya A. Grechkoseeva
published in: Frontiers of Mathematics in China
publication date: 2008-09-08T00:00:00Z
review text: Let \(G\) be a finite group. The set of element orders in \(G\) is denoted by \(\omega(G)\) and is called the spectrum of \(G\). The number of non-isomorphic groups with the same spectrum is denoted by \(h(G)\). If \(h(G)=1\), then the group \(G\) is said to be recognizable by spectrum. In this survey article the authors review recent results on the recognition property of groups.
reviewed by: M. R. Darafsheh
Mathematics Subject Classification ID: 20D06
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 5322573
zbMATH Keywords: finite simple groups
zbMATH Keywords: spectra
zbMATH Keywords: prime graphs
zbMATH Keywords: recognition problem
zbMATH Keywords: recognizable groups
zbMATH Keywords: sets of element orders
MaRDI profile type: Publication
full work available at URL: s11464-008-0018-9
OpenAlex ID: W1993842516
Wikidata QID: Q115377968
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DOI: 10.1007/S11464-008-0018-9
description: scientific article; zbMATH DE number 5322573