Maximal subgroups of the Harada-Norton group
type: Item
instance of: scholarly article
title: Maximal subgroups of the Harada-Norton group
zbMATH Open document ID: 0595.20017
DOI: 10.1016/0021-8693(86)90192-4
author: Robert A. Wilson
author: Simon Norton
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: In this paper the maximal subgroups of the sporadic simple Harada-Norton group HN are determined. It completes some work of \textit{K. Harada} [Proc. Conf. Finite Groups, Utah 1975, 119-276 (1976; Zbl 0353.20010)] and \textit{S. P. Norton} [Ph. D. thesis, Univ. Cambridge (1975)]. This result is also recorded in ''An ATLAS of Finite Groups'' (1985; Zbl 0568.20001)]. In this paper the complete proofs are given. The methods in the proof are standard and there is the usual division in the local and nonlocal case. Also use is made of a graph of valence 462 on 1.140.000 nodes on which HN acts.
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20D30
Mathematics Subject Classification ID: 20E28
zbMATH DE Number: 3957409
zbMATH Keywords: maximal subgroups
zbMATH Keywords: sporadic simple Harada-Norton group
Wikidata QID: Q56481700
reviewed by: Ulrich Dempwolff
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90192-4
OpenAlex ID: W1979121869
cites work: Q3684278
cites work: Free transposition groups
cites work: Q3698994
cites work: A Simple Subgroup of M ? and E 8 (3)
cites work: Maximal Subgroups of Automorphism Groups of Simple Groups
description: scientific article; zbMATH DE number 3957409