Metric aspects of generalized Baumslag-Solitar groups

Metric aspects of generalized Baumslag-Solitar groups

Thu, 16/05
10:00 		Alain Valette (Neuchatel) Topology Seminar Add to calendar L3
Metric aspects of generalized Baumslag-Solitar groups
A generalized Baumslag-Solitar group is a group G acting co-compactly on a tree X, with all vertex- and edge stabilizers isomorphic to the free abelian group of rank n. We will discuss the $ L^p $-metric and $ L^p $-equivariant compression of G, and also the quasi-isometric embeddability of G in a finite product of binary trees. Complete results are obtained when either $ n=1 $, or the quotient graph $ G\X $ is either a tree or homotopic to a circle. This is joint work with Yves Cornulier.