Diophantine Geometry over Groups VIII: Stability

Details Diophantine Geometry over Groups VIII: Stability Diophantine Geometry over Groups VIII: Stability

2006-09-04

arxiv.org/abs/math/0609096v2

Mathematics

Group Theory

revised version

Scientific paper

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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