{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T16:26:55Z","timestamp":1767198415061,"version":"build-2238731810"},"reference-count":8,"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":8228,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1991,9]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>We define an \u211c-group to be a stable group with the property that a generic element (for any definable transitive group action) can only be algebraic over a generic. We then derive some corollaries for \u211c-groups and fields, and prove a decomposition theorem and a field theorem. As a nonsuperstable example, we prove that small stable groups are \u211c-groups.<\/jats:p>","DOI":"10.2307\/2275070","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:41:03Z","timestamp":1146940863000},"page":"1026-1037","source":"Crossref","is-referenced-by-count":5,"title":["Small stable groups and generics"],"prefix":"10.1017","volume":"56","author":[{"given":"Frank O.","family":"Wagner","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S002248120002418X_ref008","volume-title":"Groupes stables","author":"Poizat","year":"1987"},{"key":"S002248120002418X_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(89)90056-0"},{"key":"S002248120002418X_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(86)90035-7"},{"key":"S002248120002418X_ref007","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0090946"},{"key":"S002248120002418X_ref004","unstructured":"Hrushovski E. , Contributions to stable model theory, Ph.D. thesis, University of California, Berkeley, California, 1986."},{"key":"S002248120002418X_ref003","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(80)90006-6"},{"key":"S002248120002418X_ref005","first-page":"132","volume-title":"Classification theory (proceedings, Chicago, 1985","volume":"1292","author":"Hrushovski","year":"1987"},{"key":"S002248120002418X_ref006","first-page":"186","volume-title":"The model theory of groups","volume":"11","author":"Hrushovski","year":"1989"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S002248120002418X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T06:34:25Z","timestamp":1679466865000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S002248120002418X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,9]]},"references-count":8,"aliases":["10.2178\/jsl\/1183743749"],"journal-issue":{"issue":"3","published-print":{"date-parts":[[1991,9]]}},"alternative-id":["S002248120002418X"],"URL":"https:\/\/doi.org\/10.2307\/2275070","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,9]]}}}