On quasiconvex subgroups of negatively curved groups

DOI10.1016/S0022-4049(96)00020-5zbMath0885.20028OpenAlexW1999298820MaRDI QIDQ1361206

Rita Gitik

Publication date: 22 February 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00020-5

zbMATH Keywords

normal formsfinitely generated groupsfree products with amalgamationquasiconvex subgroupsCayley graphshyperbolic groupscombinatorial group theorymalnormal subgroupsGromov hyperbolicityfinitely generated intersection propertylocally quasiconvex groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Local properties of groups (20E25)

Related Items (12)

THE COMBINATION THEOREM AND QUASICONVEXITY ⋮ COMBINATORIAL GROUP THEORY, INVERSE MONOIDS, AUTOMATA, AND GLOBAL SEMIGROUP THEORY ⋮ Nielsen generating sets and quasiconvexity of subgroups ⋮ STALLINGS FOLDINGS AND SUBGROUPS OF AMALGAMS OF FINITE GROUPS ⋮ Homology growth, hyperbolization, and fibering ⋮ Subgroup properties of fully residually free groups ⋮ On intersections of conjugate subgroups ⋮ Ping-pong on negatively curved groups ⋮ On the profinite topology on negatively curved groups ⋮ Extensions and submonoids of automatic monoids. ⋮ Howson property and one-relator groups¹ ⋮ On the Kurosh theorem and separability properties

Cites Work

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• A combination theorem for negatively curved groups
• Discrete Groups of Motions
• 3-Manifold Groups with the Finitely Generated Intersection Property
• ON SEPARABILITY PROPERTIES OF GROUPS
• Intersections of Finitely Generated Subgroups in Free Products
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• On the Finitely Generated Subgroups of an Amalgamated Product of Two Groups
• On the Intersection of Finitely Generated Free Groups

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