Basic Subgroups and Freeness, A Counterexample

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dc.creatorBlass, Andreas
dc.creatorShelah, Saharon
dc.date2007-11-19
dc.date.accessioned2026-07-07T08:43:55Z
dc.date.available2026-07-07T08:43:55Z
dc.descriptionWe construct a non-free but aleph_1-separable, torsion-free abelian group G with a pure free subgroup B such that all subgroups of G disjoint from B are free and such that G/B is divisible. This answers a question of Irwin and shows that a theorem of Blass and Irwin cannot be strengthened so as to give an exact analog for torsion-free groups of a result proved for p-groups by Benabdallah and Irwin.
dc.identifierhttps://arxiv.org/abs/0711.3031
dc.identifierhttp://arxiv.org/abs/0711.3031
dc.identifierin: {Models, modules and abelian groups} (2008) 63--73
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142484
dc.subjectLogic
dc.subjectGroup Theory
dc.titleBasic Subgroups and Freeness, A Counterexample
dc.typetext

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