A new 7-local subgroup of the Monster
type: Item
instance of: scholarly article
title: A new 7-local subgroup of the Monster
zbMATH Open document ID: 0642.20014
DOI: 10.1016/0021-8693(88)90276-1
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: The author gives an independent proof of a result due to the reviewer [J. Aust. Math. Soc., Ser. A 44, No.1, 1-16 (1988; Zbl 0636.20014)], which determines the maximal 7-local subgroups of the Monster up to conjugacy. These are as listed in the `ATLAS of finite groups' [\textit{J. H. Conway} et al., 1985; Zbl 0568.20001] except that there is a further (so-called ``new'') subgroup of shape 7 2: SL\({}_ 2(7)\). The reviewer (loc. cit.) has also determined the maximal 3-local and 5-local subgroups of the Monster.
reviewed by: Robert A. Wilson
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20D30
Mathematics Subject Classification ID: 20E28
zbMATH DE Number: 4045997
zbMATH Keywords: maximal 7-local subgroups
zbMATH Keywords: Monster
author: Chat-Yin Ho
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90276-1
OpenAlex ID: W1985967277
cites work: Q5577154
cites work: Endliche Gruppen I
cites work: Q3684278
description: scientific article; zbMATH DE number 4045997