On Products of Quasiconvex Subgroups in Hyperbolic Groups

dc.creatorMinasyan, Ashot
dc.date2004-04-21
dc.date.accessioned2026-07-07T06:32:17Z
dc.date.available2026-07-07T06:32:17Z
dc.descriptionAn interesting question about quasiconvexity in a hyperbolic group concerns finding classes of quasiconvex subsets that are closed under finite intersections. A known example is the class of all quasiconvex subgroups. However, not much is yet learned about the structure of arbitrary quasiconvex subsets. In this work we study the properties of products of quasiconvex subgroups; we show that such sets are quasiconvex, their finite intersections have a similar algebraic representation and, thus, are quasiconvex too.
dc.description22 pages, 6 figures. To appear in Intern. J. of Algebra and Comput
dc.identifierhttps://arxiv.org/abs/math/0404397
dc.identifierhttp://arxiv.org/abs/math/0404397
dc.identifierIntern. J. of Algebra and Comput. 14 (2004), no. 2, pp. 173-195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98857
dc.subjectGroup Theory
dc.titleOn Products of Quasiconvex Subgroups in Hyperbolic Groups
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