Characterization of automorphism groups of sporadic simple groups.
type: Item
instance of: scholarly article
title: Characterization of automorphism groups of sporadic simple groups.
zbMATH Open document ID: 1260.20023
author: Hong Shen
author: Hongping Cao
author: Guiyun Chen
published in: Frontiers of Mathematics in China
publication date: 2012-11-07T00:00:00Z
review text: It is proved that all automorphism groups of the sporadic simple groups are characterized by their elements orders and the group orders. This result is obtained as an easy corollary of much more general results of \textit{G. Chen} [Algebra Colloq. 3, No. 1, 49-58 (1996; Zbl 0845.20011)], \textit{B. Khosravi} [Arch. Math., Brno 45, No. 2, 83-94 (2009; Zbl 1204.20028), Kumamoto J. Math. 22, 17-34 (2009; Zbl 1185.20016)] and the reviewer [Tr. Inst. Mat. Mekh. 18, No. 3, 131-138 (2012)] about the finite groups having the same prime graph and group order as the automorphism group of a sporadic simple group.
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20D45
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 6102990
zbMATH Keywords: sporadic simple groups
zbMATH Keywords: automorphism groups
zbMATH Keywords: group orders
zbMATH Keywords: prime graphs
zbMATH Keywords: sets of element orders
zbMATH Keywords: numbers of connected components
zbMATH Keywords: order components
reviewed by: Anatoli Kondrat'ev
MaRDI profile type: Publication
full work available at URL: s11464-012-0208-3
OpenAlex ID: W2166589993
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DOI: 10.1007/S11464-012-0208-3
description: scientific article; zbMATH DE number 6102990