Tits Alternative for 2-dimensional CAT(0) complexes

Abstract

We prove the Tits Alternative for groups acting on $2$-dimensional $\mathrm{CAT}(0)$ complexes with a bound on the order of the cell stabilisers.

arXiv comment25 pages, 6 figures

References in corpus (2)

• A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry
• Presqu'un immeuble pour le groupe des automorphismes modérés

Cited by in corpus (1)

• Locally elliptic actions, torsion groups, and nonpositively curved spaces