{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T07:39:16Z","timestamp":1777534756456,"version":"3.51.4"},"reference-count":12,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":5215,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1999,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We show that it is consistent with ZFC + \u00acCH that there is a maximal cofinitary group (or, maximal almost disjoint group) G \u2264 Sym(\u03c9) such that G is a proper subset of an almost disjoint family <jats:italic>A<\/jats:italic> \u2286 Sym(\u03c9) and \u2016G\u2016 &lt; \u2016<jats:italic>A<\/jats:italic>\u2016. We also ask several questions in this area.<\/jats:p>","DOI":"10.2307\/2586812","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:03:57Z","timestamp":1146938637000},"page":"1803-1810","source":"Crossref","is-referenced-by-count":4,"title":["Adjoining cofinitary permutations"],"prefix":"10.1017","volume":"64","author":[{"given":"Yi","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200012901_ref011","unstructured":"Zhang Y. , Cofinitary groups and almost disjoint families, Ph.D. thesis , Rutgers University, 1997."},{"key":"S0022481200012901_ref009","volume-title":"Archive for Mathematical Logic","author":"Zhang"},{"key":"S0022481200012901_ref007","first-page":"121","volume-title":"Advances in algebra and model theory","author":"Truss","year":"1997"},{"key":"S0022481200012901_ref003","unstructured":"Hrusak M. , Steprans J. , and Zhang Y. , Cofinitary groups, almost disjoint and dominating families, to appear in this Journal."},{"key":"S0022481200012901_ref001","doi-asserted-by":"publisher","DOI":"10.1017\/S001309150000328X"},{"key":"S0022481200012901_ref004","volume-title":"Set theory","author":"Jech","year":"1978"},{"key":"S0022481200012901_ref002","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/28.2.113"},{"key":"S0022481200012901_ref005","volume-title":"Set theory: An introduction to independence proofs","author":"Kunen","year":"1980"},{"key":"S0022481200012901_ref006","first-page":"335","volume-title":"Proceedings of groups\u2014St. Andrews 1985","author":"Truss","year":"1986"},{"key":"S0022481200012901_ref010","volume-title":"Proceedings of 6th Asia logic conference","author":"Zhang","year":"1996"},{"key":"S0022481200012901_ref008","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-444-86580-9.50006-9"},{"key":"S0022481200012901_ref012","first-page":"737","volume":"64","author":"Zhang","year":"1999","journal-title":"On a class of M.A.D. families"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200012901","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,9]],"date-time":"2019-05-09T19:57:06Z","timestamp":1557431826000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200012901\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,12]]},"references-count":12,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1999,12]]}},"alternative-id":["S0022481200012901"],"URL":"https:\/\/doi.org\/10.2307\/2586812","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,12]]}}}