Submission date: 6 February 2007

Abstract:

We study model-theoretic and stability-theoretic properties of the nonabelian free group in the light of Sela's recent result on stability and results announced by Bestvina and Feighn. We point out analogies bewteen the free group and so-called bad groups of finite Morley rank and we prove non CM-triviality of the free group.

Mathematics Subject Classification: 03C45, 20F67

Keywords and phrases: Free group, stability, CM-trivial, generic

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