Geometry and Topology 12 (2008) 461–473

DOI: 10.2140/gt.2008.12.461

Abstract

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.

Keywords

Tits alternative, ping-pong Lemma, just non-virtually nilpotent groups

Mathematical Subject Classification

Primary: 20F65

Secondary: 20E05, 20F16, 20M05, 22E25

References

Publication

Received: 15 December 2006
Revised: 19 December 2007
Accepted: 4 December 2007
Published: 12 March 2008
Proposed: Martin Bridson
Seconded: Walter Neumann. Jean-Pierre Otal

Authors