3 papers
math.GR2022
Restricted universal groups for right-angled buildings
Jens Bossaert, Tom De Medts
In 2000, Marc Burger and Shahar Mozes introduced universal groups acting on trees. Such groups provide interesting examples of totally disconnected locally compact groups. Intuitiv…
math.GR2022
City products of right-angled buildings and their universal groups
Jens Bossaert, Tom De Medts
We introduce the notion of city products of right-angled buildings that produces a new right-angled building out of smaller ones. More precisely, if is a right-angled Coxeter d…
math.GR2020
Topological and algebraic properties of universal groups for right-angled buildings
Jens Bossaert, Tom De Medts
We study universal groups for right-angled buildings. Inspired by Simon Smith's work on universal groups for trees, we explicitly allow local groups that are not necessarily finite…