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The essential dimension of the normalizer of a maximal torus in the projective linear group

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arXiv
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Abstract

Let p be a prime, k be a field of characteristic different from p containing a primitive p-th root of unity and N be the normalizer of the maximal torus in the projective linear group PGLn. We compute the exact value of the essential dimension ed(N;p) of N at p for every n.

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