Volume 12, issue 1 (2008)

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Quasi-isometrically embedded free sub-semigroups

Yves de Cornulier and Romain Tessera

Geometry & Topology 12 (2008) 461–473
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