On centralizers of parabolic subgroups in Coxeter groups
On centralizers of parabolic subgroups in Coxeter groups
Abstract Let W be an arbitrary Coxeter group, possibly of infinite rank. We describe a decomposition of the centralizer Z W ( W I ) of an arbitrary parabolic subgroup W I into the center of W I , a Coxeter group and a subgroup defined by a 2-cell complex. …