Hyperbolic groups and free constructions

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dc.creatorKharlampovich, Olga
dc.creatorMyasnikov, Alexey
dc.date1996-05-13
dc.date.accessioned2026-07-07T09:15:31Z
dc.date.available2026-07-07T09:15:31Z
dc.descriptionWe investigate which free constructions (amalgamated products and HNN-extensions) over word hyperbolic groups produce groups that are again word hyperbolic. A complete answer is obtained for the case when the amalgamated subgroups are virtually cyclic. The results are applied, in particular, to show that a ${\bf Q}$-completion of a torsion-free hyperbolic group has solvable word problem and conjugacy problem.
dc.descriptionLaTex file, 44 pages. To appear in Trans. Am. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/9605205
dc.identifierhttp://arxiv.org/abs/math/9605205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153042
dc.subjectGroup Theory
dc.titleHyperbolic groups and free constructions
dc.typetext

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