A 3-local characterization of \(Co_3\).
type: Item
instance of: scholarly article
title: A 3-local characterization of \(Co_3\).
zbMATH Open document ID: 1117.20011
author: Inna Capdeboscq
author: Chris Parker
author: Peter J. Rowley
published in: European Journal of Combinatorics
publication date: 2007-02-14T00:00:00Z
review text: The authors give a 3-local characterization of the finite simple sporadic group \(Co_3\). Namely, they prove that if \(G\) is a finite group, \(S\) a 3-Sylow subgroup of \(G\) and \(J\) is a subgroup of \(S\) such that, in the Atlas notation, \(N_G(Z(S))=3_+^{1+4}.2.2.L_2(9).2\) and \(N_G(J)=3^5:(2\times M_{11})\) then \(G\simeq Co_3\).
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20D20
zbMATH DE Number: 5126362
zbMATH Keywords: sporadic simple groups
zbMATH Keywords: Conway groups
zbMATH Keywords: classification of finite simple groups
zbMATH Keywords: 3-local subgroups
reviewed by: V. D. Mazurov
MaRDI profile type: Publication
full work available at URL: j.ejc.2005.07.011
OpenAlex ID: W2036189729
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DOI: 10.1016/J.EJC.2005.07.011
description: scientific article; zbMATH DE number 5126362