{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T16:38:57Z","timestamp":1648744737118},"reference-count":10,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":1472,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2010,3]]},"abstract":"<jats:p>Les groupes de rang de Morley fini satisfont des conditions extraordinairement favorables d'additivit\u00e9 et de d\u00e9finissabilit\u00e9 du rang, ainsi que des propri\u00e9t\u00e9s de g\u00e9n\u00e9ricit\u00e9 optimales, et pourtant leur \u00e9tude pose des probl\u00e8mes s\u00e9rieux d\u00e8s le rang trois, comme il a \u00e9t\u00e9 montr\u00e9 dans un c\u00e9l\u00e8bre article de Gregory Cherlin [Cherlin, 1979]. Nous allons ici \u00e9tendre les r\u00e9sultats de Cherlin au contexte plus acrobatique du rang de Cantor; il nous faudra remplacer les arguments reposant sur des propri\u00e9t\u00e9s g\u00e9n\u00e9rales du rang de Morley par des consid\u00e9rations ad hoc, qui ne fonctionnent que parce que les petits rangs ne laissent pas beaucoup de place, et les arguments de g\u00e9n\u00e9ricit\u00e9, qui reposent en derni\u00e8re analyse sur la sym\u00e9trie de la d\u00e9viation, par des propri\u00e9t\u00e9s de sym\u00e9trie sp\u00e9cifiques aux ensembles auxquels ils sont appliqu\u00e9s. Nous invitons notre lecteur \u00e0 consid\u00e9rer cet article, qui ne fait que d\u00e9montrer p\u00e9niblement des r\u00e9sultats d'int\u00e9r\u00eat anecdotique, comme une m\u00e9ditation sur la force cach\u00e9e des axiomes introduits dans la pr\u00e9face de [Poizat, 1987].<\/jats:p>","DOI":"10.2178\/jsl\/1264433925","type":"journal-article","created":{"date-parts":[[2010,1,25]],"date-time":"2010-01-25T15:38:59Z","timestamp":1264433939000},"page":"346-354","source":"Crossref","is-referenced-by-count":0,"title":["Groups of small Cantor rank"],"prefix":"10.1017","volume":"75","author":[{"given":"Bruno","family":"Poizat","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200002991_ref010","first-page":"703","volume":"66","author":"Wagner","year":"2001","journal-title":"Fields of finite Morley rank"},{"key":"S0022481200002991_ref009","first-page":"1833","volume":"65","author":"Wagner","year":"2000","journal-title":"Minimal fields"},{"key":"S0022481200002991_ref005","doi-asserted-by":"publisher","DOI":"10.4064\/fm-108-3-145-157"},{"key":"S0022481200002991_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF01668549"},{"key":"S0022481200002991_ref003","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2007.09.004"},{"key":"S0022481200002991_ref002","first-page":"1","article-title":"Groups of small Morley rank","volume":"17","author":"Cherlin","year":"1979","journal-title":"Annals of Pure and Applied Logic"},{"key":"S0022481200002991_ref001","unstructured":"Blum Lenore , Generalized algebraic structures: a model-theoretic approach, th\u00e8se, MIT, 1968."},{"key":"S0022481200002991_ref007","doi-asserted-by":"publisher","DOI":"10.1142\/S1793744209000043"},{"key":"S0022481200002991_ref008","volume-title":"Model theory at St Catherine's College, Proceedings","author":"Wagner","year":"1999"},{"key":"S0022481200002991_ref006","volume-title":"Groupes stables","author":"Poizat","year":"1987"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200002991","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T20:37:31Z","timestamp":1556483851000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200002991\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,3]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,3]]}},"alternative-id":["S0022481200002991"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1264433925","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,3]]}}}