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Preprint Number 442

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442. Zlil Sela
Diophantine Geometry over Groups VIII: Stability

Submission date: 4 September 2006. Revised 23 April 2012.


This paper is the eighth in a sequence on the structure of sets of solutions to systems of equations in free and hyperbolic groups, projections of such sets (Diophantine sets), and the structure of definable sets over free and hyperbolic groups. In the eighth paper we use a modification of the sieve procedure, that was presented as part of the quantifier elimination process, to prove that free and torsion-free (Gromov) hyperbolic groups are stable.

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Full text arXiv 0609096: pdf, ps.

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