# Nikolaus conference 2017

Speaker: Patrick Wegener (Kaiserslautern)

Title: Generating Coxeter Groups by Reflections

Abstract:

Given a Coxeter system $$(W,S)$$, its set of reflections $$T$$ yields another natural generating set for $$W$$. I will talk about minimal generating sets of $$W$$ contained in $$T$$ (for $$W$$ finite or affine) and about presentations of $$W$$ for these minimal generating sets.