Hereditarily separable groups and monochromatic uniformization

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dc.creatorEklof, Paul C.
dc.creatorMekler, Alan H.
dc.creatorShelah, Saharon
dc.date2004-06-27
dc.date.accessioned2026-07-07T05:09:44Z
dc.date.available2026-07-07T05:09:44Z
dc.descriptionWe give a combinatorial equivalent to the existence of a non-free hereditarily separable group of cardinality aleph_1. This can be used, together with a known combinatorial equivalent of the existence of a non-free Whitehead group, to prove that it is consistent that every Whitehead group is free but not every hereditarily separable group is free. We also show that the fact that Z is a p.i.d. with infinitely many primes is essential for this result.
dc.identifierhttps://arxiv.org/abs/math/0406552
dc.identifierhttp://arxiv.org/abs/math/0406552
dc.identifierIsrael Journal of Mathematics, 88:213-235, 1994
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71691
dc.subjectLogic
dc.subjectGroup Theory
dc.titleHereditarily separable groups and monochromatic uniformization
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