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Preprint Number 242
242. A. Ould Houcine Homogeneity and prime models in trosion-free hyperbolic groups E-mail: Submission date: 28 April 2010. Abstract: We show that any nonabelian free group F of finite rank is homogeneous;
that is for any tuples \bar a, \bar b \in F^n, having the same complete
n-type, there exists an automorphism of F which sends \bar a to \bar
b. Mathematics Subject Classification: 20F65, 20F67, 03C50 Keywords and phrases: Homogeneity, free groups, torsion-free hyperbolic groups, prime models, two-generated torsion-free hyperbolic groups. |

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