Countable structure does not have a free uncountable automorphism group

Simple item page
dc.creatorShelah, Saharon
dc.date2000-10-30
dc.date.accessioned2026-07-07T04:38:21Z
dc.date.available2026-07-07T04:38:21Z
dc.descriptionSolecki proved that the group of automorphisms of a countable structure cannot be an uncountable free abelian group. See more in Just, Shelah and Thomas math.LO/0003120 where as a by product we can say something on on uncountable structures. We prove here the following Theorem: If A is a countable model, then Aut(M) cannot be a free uncountable group.
dc.identifierhttps://arxiv.org/abs/math/0010305
dc.identifierhttp://arxiv.org/abs/math/0010305
dc.identifierBull. London Math. Soc. 35 No. 1 (2003) 1--7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60244
dc.subjectLogic
dc.titleCountable structure does not have a free uncountable automorphism group
dc.typetext

Files

Collections

arXiv