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The cohomology of the Mathieu group \(M_{22}\) - MaRDI portal

The cohomology of the Mathieu group \(M_{22}\) (Q1804907)

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scientific article; zbMATH DE number 751255
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The cohomology of the Mathieu group \(M_{22}\)
scientific article; zbMATH DE number 751255

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    The cohomology of the Mathieu group \(M_{22}\) (English)
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    14 February 1996
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    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.
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    Mathieu group
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    sporadic group
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    restriction map
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    cohomology
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    elementary 2- subgroups
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