Normalizers of tori

Dwyer, William G; Wilkerson, C W

doi:10.2140/gt.2005.9.1337

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Normalizers of tori

W G Dwyer and C W Wilkerson

Geometry & Topology 9 (2005) 1337–1380

DOI: 10.2140/gt.2005.9.1337

arXiv: math.GR/0508108

Abstract

We determine the groups which can appear as the normalizer of a maximal torus in a connected 2–compact group. The technique depends on using ideas of Tits to give a novel description of the normalizer of the torus in a connected compact Lie group, and then showing that this description can be extended to the 2–compact case.

Keywords

maximal torus, Weyl group, 2–compact group

Mathematical Subject Classification 2000

Primary: 55P35, 55R35

Secondary: 22E10

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Publication

Received: 3 February 2004

Revised: 25 July 2005

Accepted: 6 May 2004

Published: 30 July 2005

Proposed: Haynes Miller

Seconded: Thomas Goodwillie, Ralph Cohen

Authors

W G Dwyer
Department of Mathematics University of Notre Dame Notre Dame Indiana 46556 USA

C W Wilkerson
Department of Mathematics Purdue University West Lafayette Indiana 47907 USA

Volume 9, issue 3 (2005)