Groups of small homological dimension and the Atiyah Conjecture

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dc.creatorKropholler, Peter
dc.creatorLinnell, Peter
dc.creatorLueck, Wolfgang
dc.date2004-01-23
dc.date.accessioned2026-07-07T05:04:47Z
dc.date.available2026-07-07T05:04:47Z
dc.descriptionA group G has homological dimension less or equal to 1 if it is locally free. We prove the converse provided that G satisfies the Atiyah Conjecture about L^2-Betti numbers. We also show that a finitely generated elementary amenable group G of cohomological dimension less or equal to 2 possesses a finite 2-dimensional model for BG and in particular that G is finitely presented and the trivial ZG-module Z has a 2-dimensional resolution by finitely generated free ZG-modules.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0401312
dc.identifierhttp://arxiv.org/abs/math/0401312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69940
dc.subjectGroup Theory
dc.subject18G20, 46L99
dc.titleGroups of small homological dimension and the Atiyah Conjecture
dc.typetext

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