Radical 2-subgroups of the Monster and the Baby Monster.
type: Item
instance of: scholarly article
title: Radical 2-subgroups of the Monster and the Baby Monster.
zbMATH Open document ID: 1071.20024
published in: Journal of Algebra
publication date: 2005-06-01T00:00:00Z
review text: Let \(p\) be a prime divisor of the order of a finite group \(G\). A non-trivial \(p\)-subgroup \(R\) of \(G\) is called radical if \(R=O_p(N_G(R))\), where \(O_p(X)\) denotes the largest normal \(p\)-subgroup of a group \(X\). U. Meierfrankenfeld and S. Shpectorov have classified all the maximal \(2\)-local subgroups of the Monster (\(M\)) and the Baby Monster (\(BM\)) sporadic groups. Using these results, the author of the paper under review finds the radical \(2\)-subgroups of the groups \(M\) and \(BM\).
reviewed by: M. R. Darafsheh
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20D20
zbMATH DE Number: 2173132
zbMATH Keywords: Monster
zbMATH Keywords: Baby Monster
zbMATH Keywords: sporadic groups
zbMATH Keywords: radical 2-subgroups
author: Satoshi Yoshiara
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2005.01.037
OpenAlex ID: W1967805466
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DOI: 10.1016/J.JALGEBRA.2005.01.037
description: scientific article; zbMATH DE number 2173132