ON PRODUCTS OF QUASICONVEX SUBGROUPS IN HYPERBOLIC GROUPS

DOI10.1142/S0218196704001712zbMath1083.20040arXivmath/0404397MaRDI QIDQ5692234

Ashot Minasyan

Publication date: 27 September 2005

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404397

zbMATH Keywords

geodesicsfinitely generated groupsCayley graphshyperbolic groupsmaximal elementary subgroupsquasiconvex subsetsquasiconvex products of subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

Separable subsets of GFERF negatively curved groups., SOME PROPERTIES OF SUBSETS OF HYPERBOLIC GROUPS, New examples of groups acting on real trees, Complexity of word problems for HNN-extensions, On Residualizing Homomorphisms Preserving Quasiconvexity^#, Complexity of word problems for HNN-extensions, Some examples of invariably generated groups, On residual properties of word hyperbolic groups, On torsion-free groups with finite regular file bases, New examples of \({W}^\ast\) and \({C}^\ast \)-superrigid groups

Cites Work

• Rational subgroups of biautomatic groups
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Quasiconvex subgroups of negatively curved groups
• Subgroups of small Cancellation Groups
• ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
• On quasiconvex subgroups of word hyperbolic groups