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ArticleOriginal scientific text

Title

The normalizer splitting conjecture for p-compact groups

Authors 1

Affiliations

  1. Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 København Ø, Denmark

Abstract

Let X be a p-compact group, with maximal torus BT → BX, maximal torus normalizer BN and Weyl group WX. We prove that for an odd prime p, the fibration BT→BN→BWX has a section, which is unique up to vertical homotopy.

Keywords

ENG
p-compact groups, normalizers of maximal tori, Weyl groups, cohomology of pseudoreflection groups

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Fundamenta Mathematicae
1999/161/1-2
Export to PBN, Opens in new tab
Pages:
1-16
Main language of publication
English
Received
1998-01-22
Accepted
1998-07-04
Published
1999
Exact and natural sciences