The normalizer splitting conjecture for p-compact groups
Volume 161 / 1999
Fundamenta Mathematicae 161 (1999), 1-16
DOI: 10.4064/fm-161-1-2-1-16
Abstract
Let X be a p-compact group, with maximal torus $BT → BX$, maximal torus normalizer BN and Weyl group $W_X$. We prove that for an odd prime p, the fibration $BT → BN → BW_X$ has a section, which is unique up to vertical homotopy.
