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

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We 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.
23 pages

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Logic, Group Theory, 03E35;20F28

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http://salesiana.dossiersoluciones.com/handle/123456789/124638

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702768
 http://arxiv.org/abs/math/0702768

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arXiv