caa a22 4500 388039760 CHVBK 20180307125018.0 cr unu---uuuuu 161130e199809 xx s 000 0 eng 10.2307/2586712 doi S0022481200014596 pii (NATIONALLICENCE)cambridge-10.2307/2586712 Pillay Anand University of Illinois at Urbana-Champaign, Department of Mathematics, Altgeld Hall, 1409 West Green Street, Urbana, IL 61801, USA E-mail: pillay@math.uiuc.edu Definability and definable groups in simple theories [Elektronische Daten] [Anand Pillay] We continue the study of simple theories begun in [3] and [5]. We first find the right analogue of definability of types. We then develop the theory of generic types and stabilizers for groups definable in simple theories. The general ideology is that the role of formulas (or definability) in stable theories is replaced by partial types (or ∞-definability) in simple theories. Copyright © Association for Symbolic Logic 1998 The Journal of Symbolic Logic Cambridge University Press 63/3(1998-09), 788-796 0022-4812 63:3<788 1998 63 JSL https://doi.org/10.2307/2586712 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.2307/2586712 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pillay Anand University of Illinois at Urbana-Champaign, Department of Mathematics, Altgeld Hall, 1409 West Green Street, Urbana, IL 61801, USA E-mail: pillay@math.uiuc.edu NATIONALLICENCE 773 0- The Journal of Symbolic Logic Cambridge University Press 63/3(1998-09), 788-796 0022-4812 63:3<788 1998 63 JSL CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge