Normalizers of tori

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.

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper31.abs.html

Cited by in corpus (7)

• The classification of 2-compact groups
• An Uplifting Discussion of T-Duality
• String topology of finite groups of Lie type
• Automorphisms of p-compact groups and their root data
• The classification of 2-compact groups (talk summary)
• On normalizers of maximal tori in classical Lie groups
• Classifying spaces of compact Lie groups that are p-compact for all prime numbers