… This result, known today as "the Tits alternative", answered a conjecture of Bass and
Serre and was an important step toward the understanding of linear groups. The purpose of …

… Tits, which enables us to cut out a big part of its proof without losing the key content that allowed
Tits to apply it in the proof of his alternative. … Let X be a topological space. Then X is said …

… Tits alternative, then Out(G) satisfies the Tits alternative. As an application, we prove that
the Tits alternative … We also proved that it has finite topological dimension equal to 3rkf (G,F)+2|F…

… As a consequence, we prove a Tits alternative for G, as well as a local-to-global fixed
point result. We also prove that isometries of (not necessarily complete) R-buildings are semi-…

… the amenability of topological full groups using a … , a Tits alternative for topological full
groups of minimal actions of finitely generated groups. On the one hand, we show that topological …

… is extended to the "Tits-Alternative", a property of linear groups established by J. Tits [T]. In
… If { Xiii E I} is a collection of topological spaces, then we may define the join of {Xiii E I}, *iEIXi…

… This is the second of two papers in which we prove the Tits alternative for Out(Fn). … We start
by recalling the topological representatives for automorphisms having polynomial growth that …

… We prove that the mapping class group of X does not satisfy the Tits alternative. That is,
Map.X/ contains a finitely … X/ is a topological group, its topology will play no role in this paper. …

… Our viewpoint will be probabilistic instead of topological, inspired by the following result of
R. Aoun for linear groups. We first fix some notation: if µ1,µ2 are probability measures on a …

… We prove a dynamical variant of the Tits alternative for … topological space and G a group of
homeomorphisms of X. We say that the action of G on X satisfies the dynamical Tits alternative …