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 \(G\).