Changing the Heights of Automorphism Towers by Forcing with Souslin Trees over L

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dc.creatorFuchs, Gunter
dc.creatorHamkins, Joel David
dc.date2007-02-26
dc.date.accessioned2026-07-07T07:48:50Z
dc.date.available2026-07-07T07:48:50Z
dc.descriptionWe prove that there are groups in the constructible universe whose automorphism towers are highly malleable by forcing. This is a consequence of the fact that, under a suitable diamond hypothesis, there are sufficiently many highly rigid non-isomorphic Souslin trees whose isomorphism relation can be precisely controlled by forcing.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0702768
dc.identifierhttp://arxiv.org/abs/math/0702768
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124638
dc.subjectLogic
dc.subjectGroup Theory
dc.subject03E35;20F28
dc.titleChanging the Heights of Automorphism Towers by Forcing with Souslin Trees over L
dc.typetext

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