{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,14]],"date-time":"2023-11-14T14:22:28Z","timestamp":1699971748706},"reference-count":7,"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":3754,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2003,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We show that g \u2264 <jats:italic>c<\/jats:italic>(Sym(<jats:italic>\u03c9<\/jats:italic>)) where <jats:italic>g<\/jats:italic> is the groupwise density number and <jats:italic>c<\/jats:italic>(Sym(<jats:italic>\u03c9<\/jats:italic>)) is the cofinality of the infinite symmetric group. This solves (the second half of) a problem addressed by Thomas.<\/jats:p>","DOI":"10.2178\/jsl\/1067620191","type":"journal-article","created":{"date-parts":[[2005,3,2]],"date-time":"2005-03-02T21:19:37Z","timestamp":1109798377000},"page":"1354-1361","source":"Crossref","is-referenced-by-count":3,"title":["The cofinality of the infinite symmetric group and groupwise density"],"prefix":"10.1017","volume":"68","author":[{"given":"J\u00f6rg","family":"Brendle","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maria","family":"Losada","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200008392_ref007","doi-asserted-by":"publisher","DOI":"10.1142\/S0219061303000066"},{"key":"S0022481200008392_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/BF01269875"},{"key":"S0022481200008392_ref002","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-42.1.64"},{"key":"S0022481200008392_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/s001530050109"},{"key":"S0022481200008392_ref003","first-page":"297","volume":"67","author":"Mildenberger","year":"2002","journal-title":"The relative consistency of g < c (Sym(w))"},{"key":"S0022481200008392_ref001","first-page":"50","volume":"54","author":"Blass","year":"1989","journal-title":"Consistency results about filters and the number of inequivalent growth types"},{"key":"S0022481200008392_ref004","doi-asserted-by":"crossref","first-page":"328","DOI":"10.1305\/ndjfl\/1040511341","article-title":"Uniformization problems and the cofinality of the infinite symmetric group","volume":"35","author":"Sharp","year":"1994","journal-title":"Notre Dame Journal of Formal Logic"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200008392","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,6]],"date-time":"2019-05-06T22:09:24Z","timestamp":1557180564000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200008392\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,12]]},"references-count":7,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2003,12]]}},"alternative-id":["S0022481200008392"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1067620191","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,12]]}}}