Geometry & Topology, Vol. 9 (2005) Paper no. 31, pages 1337--1380.

Normalizers of tori

WG Dwyer and CW Wilkerson

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

AMS subject classification. Primary: 55P35, 55R35. Secondary: 22E10.

E-print: arXiv:math.GR/0508108

DOI: 10.2140/gt.2005.9.1337

Submitted to GT on 3 February 2004. (Revised 25 July 2005.) Paper accepted 6 May 2004. Paper published 30 July 2005.

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WG Dwyer and CW Wilkerson
Department of Mathematics, University of Notre Dame
Notre Dame, Indiana 46556, USA
and
Department of Mathematics, Purdue University
West Lafayette, Indiana 47907, USA
Email: dwyer.1@nd.edu, wilker@math.purdue.edu

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