Combings of semidirect products and 3-manifold groups

DOI10.1007/BF01895689zbMath0783.20020MaRDI QIDQ1261157

Martin R. Bridson

Publication date: 10 March 1994

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58125

zbMATH Keywords

normal formcompact 3-manifoldword-hyperbolic groupsplit extensionasynchronous fellow-traveller propertyasynchronously automatic groupasynchronously combable groupexponential isoperimetric inequalitylinear isodiametric inequalityThurston's geometrization conjecture

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

Isoperimetric inequalities for the fundamental groups of torus bundles over the circle, Fractional isoperimetric inequalities and subgroup distortion, Dehn functions of subgroups of right-angled Artin groups, Tame Combings of Groups, Regular combings, nonpositive curvature and the quasiconvexity of Abelian subgroups, Group extensions and tame pairs, COMBING NILPOTENT AND POLYCYCLIC GROUPS

Cites Work

• A combination theorem for negatively curved groups
• Automatic groups and amalgams
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• On the Geometry of Normal Forms in Discrete Groups
• The Geometries of 3-Manifolds