Diophantine geometry over groups and the elementary theory of free and hyperbolic groups

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dc.creatorSela, Zlil
dc.date2003-04-15
dc.date.accessioned2026-07-07T04:56:55Z
dc.date.available2026-07-07T04:56:55Z
dc.descriptionWe study sets of solutions to equations over a free group, projections of such sets, and the structure of elementary sets defined over a free group. The structre theory we obtain enable us to answer some questions of A. Tarski's, and classify those finitely generated groups that are elementary equivalent to a free group. Connections with low dimensional topology, and a generalization to (Gromov) hyperbolic groups will also be discussed.
dc.identifierhttps://arxiv.org/abs/math/0304209
dc.identifierhttp://arxiv.org/abs/math/0304209
dc.identifierProceedings of the ICM, Beijing 2002, vol. 2, 87--92
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67096
dc.subjectGroup Theory
dc.subject14, 20
dc.titleDiophantine geometry over groups and the elementary theory of free and hyperbolic groups
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