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FORKING IN THE FREE GROUP

Published online by Cambridge University Press:  16 November 2007

Anand Pillay
Anand Pillay
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT, UK ([email protected])
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Abstract

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

Keywords

free groupgenericforkingCM-trivialityPrimary 20E0503C45
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 7 , Issue 2 , April 2008 , pp. 375 - 389
Copyright
2007 Cambridge University Press

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