{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,28]],"date-time":"2026-07-28T01:51:45Z","timestamp":1785203505311,"version":"3.55.0"},"reference-count":8,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":2110,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2008,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>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.<\/jats:p>","DOI":"10.2178\/jsl\/1208359063","type":"journal-article","created":{"date-parts":[[2008,4,16]],"date-time":"2008-04-16T19:50:47Z","timestamp":1208375447000},"page":"614-633","source":"Crossref","is-referenced-by-count":2,"title":["Changing the heights of automorphism towers by forcing with Souslin trees over L"],"prefix":"10.1017","volume":"73","author":[{"given":"Gunter","family":"Fuchs","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Joel David","family":"Hamkins","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200004539_ref008","unstructured":"Thomas Simon , The Automorphism Tower Problem , to appear."},{"key":"S0022481200004539_ref007","doi-asserted-by":"publisher","DOI":"10.1007\/BF02762269"},{"key":"S0022481200004539_ref006","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1985-0801316-9"},{"key":"S0022481200004539_ref004","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/302\/05050"},{"key":"S0022481200004539_ref003","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-98-04797-2"},{"key":"S0022481200004539_ref001","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0065979"},{"key":"S0022481200004539_ref005","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(99)00039-1"},{"key":"S0022481200004539_ref002","unstructured":"Fuchs Gunter and Hamkins Joel David , Degrees of rigidity for Suslin trees, submitted."}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200004539","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,30]],"date-time":"2019-04-30T23:32:41Z","timestamp":1556667161000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200004539\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,6]]},"references-count":8,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,6]]}},"alternative-id":["S0022481200004539"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1208359063","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,6]]}}}