Elementary Abelian 3-subgroups of the Monster
type: Item
instance of: scholarly article
title: Elementary Abelian 3-subgroups of the Monster
zbMATH Open document ID: 0917.20012
author: Thomas M. Richardson
published in: Journal of Algebra
publication date: 1999-07-06T00:00:00Z
review text: A complete classification of the maximal elementary abelian 3-subgroups of the Monster is obtained. It turns out there are 17 conjugacy classes, one of groups of order \(3^8\), one of the groups of order \(3^6\), and the rest of groups of order \(3^7\). Of necessity the methods are highly technical, and depend on detailed calculations in various 3-local subgroups.
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20D30
zbMATH DE Number: 1247581
zbMATH Keywords: maximal elementary abelian 3-subgroups
zbMATH Keywords: Monster
zbMATH Keywords: conjugacy classes
zbMATH Keywords: 3-local subgroups
reviewed by: Robert A. Wilson
MaRDI profile type: Publication
full work available at URL: jabr.1998.7577
OpenAlex ID: W2082912929
cites work: Q3684278
cites work: A Correlation Between PSU 4 (3), the Suzuki Group, and the Conway Group
cites work: Local Subgroups of the Monster and Odd Code Loops
cites work: Elementary abelian \(5\)-subgroups of the Monster
cites work: Q3775710
DOI: 10.1006/JABR.1998.7577
description: scientific article; zbMATH DE number 1247581