Let X be a p-compact group, with maximal torus BT → BX, maximal torus normalizer BN and Weyl group . We prove that for an odd prime p, the fibration has a section, which is unique up to vertical homotopy.
@article{bwmeta1.element.bwnjournal-article-fmv161i1p1bwm, author = {Kasper Andersen}, title = {The normalizer splitting conjecture for p-compact groups}, journal = {Fundamenta Mathematicae}, volume = {159}, year = {1999}, pages = {1-16}, zbl = {0938.55015}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p1bwm} }
Andersen, Kasper. The normalizer splitting conjecture for p-compact groups. Fundamenta Mathematicae, Tome 159 (1999) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p1bwm/
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