2026/07/23 by Eirini Chavli, Thomas Gobet
#math.GR #math.CO
We identify and study the interval Garside groups arising from the restriction of the absolute order on a Coxeter group to a lattice [1,w]T, where w is an involution. Those involutions w for which [1,w]T is a lattice were previously classified by the second author; every such involution lies in the center of the parabolic subgroup generated by [1,w]T. Except in type Bn, the obtained groups are isomorphic to (decomposable) right-angled Artin groups. We also investigate the situation for some finite complex reflection groups, mostly in rank two, taking for w a (not necessarily involutive) central element.