{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T11:19:33Z","timestamp":1758280773677},"reference-count":13,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":557,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2012,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We study definable irreducible actions of SL<jats:sub>2<\/jats:sub><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200000554_inline01\"\/>on an abelian group of Morley rank \u2264 3rk<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0022481200000554_inline01\"\/>and prove they are rational representations of the group.<\/jats:p>","DOI":"10.2178\/jsl\/1344862167","type":"journal-article","created":{"date-parts":[[2012,11,5]],"date-time":"2012-11-05T15:02:32Z","timestamp":1352127752000},"page":"919-933","source":"Crossref","is-referenced-by-count":4,"title":["Small representations of SL<sub>2<\/sub>in the finite Morley rank category"],"prefix":"10.1017","volume":"77","author":[{"given":"Gregory","family":"Cherlin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adrien","family":"Deloro","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200000554_ref006","doi-asserted-by":"publisher","DOI":"10.2178\/bsl\/1231081770"},{"key":"S0022481200000554_ref012","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-7594-3"},{"key":"S0022481200000554_ref007","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1993-1101987-0"},{"key":"S0022481200000554_ref009","volume-title":"Groupes stables","author":"Poizat","year":"1987"},{"key":"S0022481200000554_ref013","first-page":"703","volume":"66","author":"Wagner","year":"2001","journal-title":"Fields of finite Morley rank"},{"key":"S0022481200000554_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684375"},{"key":"S0022481200000554_ref010","first-page":"1637","volume":"66","author":"Poizat","year":"2001","journal-title":"Quelques modestes remarques \u00e0 propos d'une cons\u00e9quence inattendue d'un r\u00e9sultat surprenant de Monsieur Frank Olaf Wagner"},{"key":"S0022481200000554_ref005","doi-asserted-by":"publisher","DOI":"10.1515\/jgth.2005.8.5.613"},{"key":"S0022481200000554_ref001","first-page":"207","volume":"72","author":"Baudisch","year":"2007","journal-title":"Red fields"},{"key":"S0022481200000554_ref004","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198534457.001.0001","volume-title":"Groups of finite Morley rank","volume":"26","author":"Borovik","year":"1994"},{"key":"S0022481200000554_ref003","doi-asserted-by":"publisher","DOI":"10.2307\/1970833"},{"key":"S0022481200000554_ref008","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-70.3.481"},{"key":"S0022481200000554_ref011","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0057316"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200000554","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T02:21:42Z","timestamp":1714530102000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200000554\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,9]]},"references-count":13,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,9]]}},"alternative-id":["S0022481200000554"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1344862167","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,9]]}}}