Normalizers of maximal tori

  title={Normalizers of maximal tori},
  author={Jesper M. M\oller},
Normalizers andp-normalizers of maximal tori inp-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”. Mathematics Subject Classification (1991): 55P35, 55S37