The cohomology of the Mathieu group \(M_{22}\)
type: Item
instance of: scholarly article
title: The cohomology of the Mathieu group \(M_{22}\)
zbMATH Open document ID: 0832.20075
DOI: 10.1016/0040-9383(94)00029-K
published in: Topology
publication date: 1996-02-14T00:00:00Z
review text: The author describes the structure of the mod 2 cohomology \(H^* (M_{22}; {\mathbf F}_2)\) of the sporadic group \(M_{22}\). In particular, the kernel of the restriction map from \(H^*(M_{22}; {\mathbf F}_2)\) to the cohomology of conjugacy classes of extremal elementary 2-subgroups is explicitly determined.
Mathematics Subject Classification ID: 20J06
Mathematics Subject Classification ID: 20D08
zbMATH DE Number: 751255
zbMATH Keywords: Mathieu group
zbMATH Keywords: sporadic group
zbMATH Keywords: restriction map
zbMATH Keywords: cohomology
zbMATH Keywords: elementary 2- subgroups
author: Alejandro Adem
author: R. James Milgram
reviewed by: V. D. Mazurov
MaRDI profile type: Publication
full work available at URL: 0040-9383(94)00029-k
OpenAlex ID: W2010780259
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description: scientific article; zbMATH DE number 751255