Constructions of cocompact lattices for certain higher-rank complete Kac-Moody groups

Inna Capdeboscq and Anne Thomas

Abstract

Let $G$ be a complete Kac-Moody group of rank n at least 2 such that the Weyl group of $G$ is a free product of cyclic groups of order 2. We construct new families of examples of cocompact lattices in $G$, many of which act transitively on the chambers of the building for $G$.