Quasi-isometric rigidity for PSL(2,Z[1/p])

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dc.creatorTaback, Jennifer
dc.date1998-09-19
dc.date.accessioned2026-07-07T05:26:04Z
dc.date.available2026-07-07T05:26:04Z
dc.descriptionWe prove that PSL(2,Z[1/p]) gives the first example of groups which are not quasi-isometric to each other but have the same quasi-isometry group. Namely, PSL(2,Z[1/p]) and PSL(2,Z[1/q]) are not quasi-isometric unless p=q, and, independent of p, the quasi-isometry group of PSL(2,Z[1/p]) is PSL(2,Q). In addition, we characterize PSL(2,Z[1/p]) uniquely among all finitely generated groups by its quasi-isometry type.
dc.description29 pages, 4 figures, LaTeX, epsfig
dc.identifierhttps://arxiv.org/abs/math/9809108
dc.identifierhttp://arxiv.org/abs/math/9809108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77417
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F32
dc.titleQuasi-isometric rigidity for PSL(2,Z[1/p])
dc.typetext

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