Geometric finiteness and rationality

DOI10.1016/0022-4049(93)90107-5zbMath0806.57003OpenAlexW2029354991MaRDI QIDQ1210358

S. Singh

Publication date: 16 February 1995

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

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90107-5

zbMATH Keywords

Cayley graphnegatively curved groupsgeometrically finite groupshyperbolic groupsregular languagefinite state automatonautomatic groupautomatic structurerational subgroupdiscrete subgroups of isometries of the hyperbolic space

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Semigroups in automata theory, linguistics, etc. (20M35) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (7)

Separable subsets of GFERF negatively curved groups. ⋮ Hyperbolic groups acting improperly ⋮ Virtual homological spectral radii for automorphisms of surfaces ⋮ FREELY INDECOMPOSABLE GROUPS ACTING ON HYPERBOLIC SPACES ⋮ Quasi-convex groups of isometries of negatively curved spaces ⋮ Howson property and one-relator groups¹ ⋮ Splittings of knot groups

Cites Work

• A combination theorem for negatively curved groups
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Rational subgroups of biautomatic groups
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Limit Sets of Geometrically Finite Hyperbolic Groups
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
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