Geodesic
Indiscernible Sets in Homogeneous Models
Matematičeskie trudy, Tome 5 (2002) no. 2, pp. 170-177.

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We study the problem of the possibility of extending an arbitrary permutation of elements of a given indiscernible set in a homogeneous model (in particular, a homogeneous atomic model) to an automorphism. 
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K. Zh. Kudaibergenov. Indiscernible Sets in Homogeneous Models. Matematičeskie trudy, Tome 5 (2002) no. 2, pp. 170-177. http://geodesic.mathdoc.fr/item/MT_2002_5_2_a5/

[1] Kudaibergenov K. Zh., “Ob atomnykh modelyakh”, Mat. trudy, 3:2 (2000), 111–128 | MR

[2] Kim V., Forking in Simple Unstable Theories, Preprint, University of Notre Dame, Notre Dame, 1995

[3] Kueker D. W., Steitz P. W., Stabilizers of Definable Sets in Homogeneous Models, Preprint, University of Maryland, College Park, 1990

[4] Lachlan A., “On countable stable structures which are homogeneous for a finite relational language”, Israel J. Math., 49:69–153 (1984) | MR

[5] Shelah S., Classification Theory and the Number of Nonisomorphic Models, North-Holland, Amsterdam, 1978 | MR | Zbl

[6] Shelah S., “Simple unstable theories”, Ann. Pure Appl. Logic, 19 (1980), 177–203 | MR | Zbl