Limit groups, positive-genus towers and measure equivalence

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dc.creatorBridson, Martin R
dc.creatorTweedale, Michael
dc.creatorWilton, Henry
dc.date2005-11-10
dc.date2006-11-07
dc.date.accessioned2026-07-07T06:51:06Z
dc.date.available2026-07-07T06:51:06Z
dc.descriptionBy definition, an $ω$-residually free tower is positive-genus if all surfaces used in its construction are of positive genus. We prove that every limit group is virtually a subgroup of a positive-genus $ω$-residually free tower. By combining this with results of Gaboriau, we prove that elementarily free groups are measure equivalent to free groups.
dc.description10 pages; no figures. Minor changes; now to appear in Ergod. Th. & Dynam. Sys
dc.identifierhttps://arxiv.org/abs/math/0511275
dc.identifierhttp://arxiv.org/abs/math/0511275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104877
dc.subjectGroup Theory
dc.subjectDynamical Systems
dc.subject20F65, 37A20 (20E05, 22F10)
dc.titleLimit groups, positive-genus towers and measure equivalence
dc.typetext

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