Quasi-isometrically embedded free sub-semigroups

de Cornulier, Yves; Tessera, Romain

doi:10.2140/gt.2008.12.461

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Quasi-isometrically embedded free sub-semigroups

Yves de Cornulier and Romain Tessera

Geometry & 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 2000

Primary: 20F65

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

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

Yves de Cornulier
IRMAR Campus de Beaulieu 35042 Rennes Cedex France

Romain Tessera
Department of Mathematics Stevenson Center Vanderbilt University Nashville TN 37240 USA

Volume 12, issue 1 (2008)