W. G. Dwyer, Clarence Wilkerson
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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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.
Key concepts: Centralizer and normalizer, Torus, Maximal torus, Mathematics, Compact group, Lie group, Pure mathematics, Group (periodic table)