Normalizers of maximal tori |
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Authors: | Jesper M Møller |
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Institution: | Matematisk Institut, Universitetsparken 5, DK-2100 K?benhavn ?, Denmark (e-mail: moller@math.ku.dk), DK
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Abstract: | Normalizers and p-normalizers of maximal tori in p-compact groups can be characterized by the Euler characteristic of the associated homogeneous spaces. Applied to centralizers
of elementary abelian p-groups these criteria show that the normalizer of a maximal torus of the centralizer is given by the centralizer of a preferred
homomorphism to the normalizer of the maximal torus; i.e. that “normalizer” commutes with “centralizer”.
Received April 1, 1995; in final form August 11, 1997 |
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Keywords: | Mathematics Subject Classification (1991):55P35 55S37 |
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