Forking in the free group

Mathematics – Logic

Scientific paper

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18 pages

Scientific paper

We study model-theoretic and stability-theoretic properies 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 between the free group
and so-called bad groups of finite Morley rank and we prove non CM-triviality
of the free group.

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