A strong Schottky Lemma for nonpositively curved singular spaces

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dc.creatorAlperin, Roger C.
dc.creatorFarb, Benson
dc.creatorNoskov, Guennadi A.
dc.date2001-01-09
dc.date.accessioned2026-07-07T04:39:35Z
dc.date.available2026-07-07T04:39:35Z
dc.descriptionIn this paper we give a criterion for pairs of isometries of a nonpositively curved metric space to generate a free group. This criterion holds only in singular spaces, for example in Euclidean buildings. The original motivation for our criterion was to prove that the four dimensional Burau representation is faithful. Although we do not settle this question, we do exhibit a related 2-parameter family of faithful representations of the free group F_2.
dc.identifierhttps://arxiv.org/abs/math/0101074
dc.identifierhttp://arxiv.org/abs/math/0101074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60723
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20
dc.titleA strong Schottky Lemma for nonpositively curved singular spaces
dc.typetext

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