An identification theorem for groups with socle \(\mathrm{PSU}_6(2)\).
type: Item
instance of: scholarly article
zbMATH Open document ID: 1281.20014
DOI: 10.1017/S1446788712000390
author: Chris Parker
author: Gernot Stroth
published in: Journal of the Australian Mathematical Society
publication date: 2013-07-18T00:00:00Z
Mathematics Subject Classification ID: 20D05
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20D06
Mathematics Subject Classification ID: 20D20
zbMATH DE Number: 6189297
zbMATH Keywords: classification of finite simple groups
zbMATH Keywords: identification of simple groups
zbMATH Keywords: classical groups
zbMATH Keywords: 3-local subgroups
zbMATH Keywords: finite groups of Lie type
MaRDI profile type: Publication
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title: An identification theorem for groups with socle \(\mathrm{PSU}_6(2)\).
review text: The authors provide a 3-local characterization of the almost simple groups with socle \(\mathrm{PSU}_6(2)\). The first author in earlier work [J. Algebra 300, No. 2, 707-728 (2006; Zbl 1102.20013)] obtained a partial result in this direction. The full result will be applied in a larger project which began by \textit{U. Meierfrankenfeld, B. Stellmacher} and \textit{G. Stroth} [``The structure theorem for finite groups with a large \(p\)-subgroup'', preprint (2011)] and aims to provide an alternative proof for some major parts of the classification of the finite simple groups. The group \(\mathrm{PSU}_6(2)\) is a Lie type group defined in characteristic 2 and so its appearance in a setting where 3 is the significant prime is unusual.
reviewed by: Anatoli Kondrat'ev
description: scientific article; zbMATH DE number 6189297