Un lemme de Kazhdan-Margulis-Zassenhaus pour les géométries de Hilbert
Un lemme de Kazhdan-Margulis-Zassenhaus pour les géométries de Hilbert
We prove a Kazhdan-Margulis-Zassenhaus lemma for Hilbert geometries. More precisely, in every dimension n there exists a constant ε n >0 such that, for any properly convex open set Ω and any point x∈Ω, any discrete group generated by a finite number of automorphisms of Ω, which displace x at …