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Many examples are explored, including vector spaces over finite fields viewed as 2-sorted finite structures, and homocyclic groups. Connections are made to products of sets in finite groups, in particular to word maps, and a generalization of Tao's Algebraic Regularity Lemma is noted.<\/jats:p>","DOI":"10.1142\/s0219061315500026","type":"journal-article","created":{"date-parts":[[2015,4,17]],"date-time":"2015-04-17T02:57:32Z","timestamp":1429239452000},"page":"1550002","source":"Crossref","is-referenced-by-count":12,"title":["Pseudofinite structures and simplicity"],"prefix":"10.1142","volume":"15","author":[{"given":"Dar\u00edo","family":"Garc\u00eda","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad de los Andes, Cra 1 No. 18A-10, Edificio H, Bogot\u00e1 111711, Colombia"}]},{"given":"Dugald","family":"Macpherson","sequence":"additional","affiliation":[{"name":"School of Mathematics, University of Leeds, Leeds LS2 9JT, UK"}]},{"given":"Charles","family":"Steinhorn","sequence":"additional","affiliation":[{"name":"Vassar College, Poughkeepsie, NY 12604, USA"}]}],"member":"219","published-online":{"date-parts":[[2015,7,8]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(97)00017-1"},{"key":"rf2","unstructured":"Z.\u00a0Chatzidakis, The Notre Dame Lectures, Lecture Notes in Logic\u00a018, ed. 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