A finitely-presented solvable group with a small quasi-isometry group

Simple item page
dc.creatorWortman, Kevin
dc.date2005-07-09
dc.date2005-08-08
dc.date.accessioned2026-07-07T05:21:34Z
dc.date.available2026-07-07T05:21:34Z
dc.descriptionWe exhibit a family of infinite, finitely-presented, nilpotent-by-abelian groups. Each member of this family is a solvable S-arithmetic group that is related to Baumslag-Solitar groups, and everyone of these groups has a quasi-isometry group that is virtually a product of a solvable real Lie group and a solvable p-adic Lie group. In addition, we propose a candidate for a polycyclic group whose quasi-isometry group is a solvable real Lie group, and we introduce a candidate for a quasi-isometrically rigid solvable group that is not finitely presented. We also record some conjectures on the large-scale geometry of lamplighter groups.
dc.descriptionReferences added
dc.identifierhttps://arxiv.org/abs/math/0507191
dc.identifierhttp://arxiv.org/abs/math/0507191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75733
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F65; 20G30; 22E40
dc.titleA finitely-presented solvable group with a small quasi-isometry group
dc.typetext

Files

Collections

arXiv