Centralizers in ${\tilde{A}}_2$ groups

Abstract

Let $\Gamma$ be a torsion free discrete group acting cocompactly on a two dimensional euclidean building $\Delta$. The centralizer of an element of $\Gamma$ is either a Bieberbach group or is described by a finite graph of finite cyclic groups. Explicit examples are computed, with $\Delta$ of type ${\tilde{A}}_2$.

References in corpus (1)

• Groups acting on products of trees, tiling systems and analytic K-theory