Hyperbolic groups and free constructions

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We 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.
LaTex file, 44 pages. To appear in Trans. Am. Math. Soc

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Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/153042

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9605205
 http://arxiv.org/abs/math/9605205

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arXiv