A note on twisted conjugacy and generalized Baumslag-Solitar groups

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dc.creatorTaback, Jennifer
dc.creatorWong, Peter
dc.date2006-06-12
dc.date2008-05-30
dc.date.accessioned2026-07-07T09:41:39Z
dc.date.available2026-07-07T09:41:39Z
dc.descriptionA generalized Baumslag-Solitar group is the fundamental group of a graph of groups all of whose vertex and edge groups are infinite cyclic. Levitt proves that any generalized Baumslag-Solitar group has property R-infinity, that is, any automorphism has an infinite number of twisted conjugacy classes. We show that any group quasi-isometric to a generalized Baumslag-Solitar group also has property R-infinity. This extends work of the authors proving that any group quasi-isometric to a solvable Baumslag-Solitar BS(1,n) group has property R-infinity, and relies on the classification of generalized Baumslag-Solitar groups given by Whyte.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0606284
dc.identifierhttp://arxiv.org/abs/math/0606284
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161902
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20E45 (Primary); 20E08, 20F65, 55M20 (Secondary)
dc.titleA note on twisted conjugacy and generalized Baumslag-Solitar groups
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