The Number of Conjugates of the Standard Representation of Sn in the General Linear Group over GF(2)

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Maurer, Peter M.

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Abstract

This report determines the normalizer of the standard representation of Sn in the general linear group of nxn matrices over GF(2). The size of the normalizer is then used to determine the number of classes of conjugate symmetry for the general case.

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Conjugate Symmetry, Symmetric Boolean Functions, Symmetry Detection

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