A coarse classification of countable abelian groups

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dc.creatorHiges, J.
dc.date2008-03-04
dc.date.accessioned2026-07-07T09:24:32Z
dc.date.available2026-07-07T09:24:32Z
dc.descriptionWe classify up to coarse equivalence all countable abelian groups of finite torsion free rank. The Q-cohomological dimension and the torsion free rank are the two invariants that give us such classification. We also prove that any countable abelian group of finite torsion free rank is coarsely equivalent to Z^n + H where H is a direct sum (possibly infinite) of cyclic groups. A partial generalization to countable abelian groups of the Gromov rigidity theorem for abelian groups is shown.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0803.0379
dc.identifierhttp://arxiv.org/abs/0803.0379
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156128
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject54F45 (Primary); 55M10, 54C65 (Secondary)
dc.titleA coarse classification of countable abelian groups
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