Quasi-isometrically embedded free sub-semigroups

Yves de Cornulier (1) , Romain Tessera (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Department of Mathematics, Vanderbilt University

If G is either a connected Lie group, or a finitely generated solvable group with exponential growth, we show that G contains a quasi-isometrically embedded free sub-semigroup on 2 generators.

Mots clés: subgroups

Yves de Cornulier, Romain Tessera. Quasi-isometrically embedded free sub-semigroups. Geometry and Topology, 2008, 12, pp.461-473. ⟨10.2140/gt.2008.12.461⟩. ⟨hal-00361155⟩