A 2-local characterization of \(M(24)'\).
type: Item
instance of: scholarly article
title: A 2-local characterization of \(M(24)'\).
zbMATH Open document ID: 1268.20018
author: M. Reza Salarian
published in: Monatshefte für Mathematik
publication date: 2012-10-15T00:00:00Z
review text: The author proves the following theorem. Let \(G\) be a finite group and \(z\) be an involution in \(G\). If \(z\) is not weakly closed in \(O^2(C_G(z))\) with respect to \(G\), then \(G\) is isomorphic to Fischer's 3-transposition group \(M(24)' =Fi_{24}'\). This result is an improvement of the same result by \textit{S. L. Davis} and \textit{R. Solomon} [Commun. Algebra 9, 1725-1742 (1981; Zbl 0472.20007)].
reviewed by: M. R. Darafsheh
Mathematics Subject Classification ID: 20D08
zbMATH DE Number: 6093467
zbMATH Keywords: finite simple groups
zbMATH Keywords: sporadic simple groups
zbMATH Keywords: Fischer groups
zbMATH Keywords: 3-transposition groups
MaRDI profile type: Publication
full work available at URL: s00605-011-0328-y
OpenAlex ID: W2102186675
cites work: Q3708174
cites work: Q3128706
cites work: Q3684278
cites work: Some sporadic characterizations
cites work: Some simple groups related to \(M_{24}\)
cites work: The Mathieu Groups
DOI: 10.1007/S00605-011-0328-Y
description: scientific article; zbMATH DE number 6093467