Changing the Heights of Automorphism Towers by Forcing with Souslin Trees over L
Abstract
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 nonisomorphic Souslin trees whose isomorphism relation can be precisely controlled by forcing.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2007
 arXiv:
 arXiv:math/0702768
 Bibcode:
 2007math......2768F
 Keywords:

 Mathematics  Logic;
 Mathematics  Group Theory;
 03E35;
 20F28
 EPrint:
 23 pages