Normalizers of maximal tori | Zendy

Jesper M. Møller | Zendy

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Normalizers of maximal tori

Author(s) -

Jesper M. Møller

Publication year - 1999

Publication title -

mathematische zeitschrift

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.38

H-Index - 66

eISSN - 1432-1823

pISSN - 0025-5874

DOI - 10.1007/pl00004725

Subject(s) - centralizer and normalizer , mathematics , torus , maximal torus , homomorphism , pure mathematics , abelian group , homogeneous , euler characteristic , combinatorics , geometry , fundamental representation , lie algebra , weight

. 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”.

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