** "Geometry and Analysis on Groups" Research Seminar **

**Time:** 2016.12.14, 10:00–12:00

**Location:** Besprechungsraum 02, Oskar-Morgenstern-Platz 1, 2.Stock

**Title:** "On the small cancellation geometry
of certain graph products of groups."

**Speaker:** Alexandre
Martin (Universität Wien)

**Abstract:**
Graph products of groups generalise both right-angled Coxeter groups and right-angled Artin groups. While such groups are already known to act on buildings, I will explain how it is possible, when the underlying graph is a cycle, to construct a more "robust" action on a small cancellation polygonal complex. Such an action can be used to compute the automorphism group of such groups and understand their geometry. (joint work with A. Genevois)