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G&T Monographs |
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Normalizers of tori
William G Dwyer and C W Wilkerson
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Geometry & Topology 9 (2005)
1337–1380
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Abstract
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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.
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Keywords
maximal torus, Weyl group,
2–compact group
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Mathematical Subject Classification
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
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