Normalizers of tori

William G Dwyer; C W Wilkerson

doi:10.2140/gt.2005.9.1337

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Home > Journals > Geom. Topol. > Volume 9 > Issue 3 > Article

2005 Normalizers of tori

William G Dwyer, C W Wilkerson

Geom. Topol. 9(3): 1337-1380 (2005). DOI: 10.2140/gt.2005.9.1337

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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.