## 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 $$G$$.

This paper is available as a pdf (296kB) file.

 Thursday, April 5, 2012