Almost convex groups and the eight geometries

DOI10.1007/BF01264925zbMath0835.20049arXivmath/9306202OpenAlexW2024913869MaRDI QIDQ1900030

Melanie Stein, Michael Shapiro

Publication date: 14 April 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9306202

zbMATH Keywords

word hyperbolic groupsfundamental groupscentral extensionsfinite generating setsclosed 3-manifoldsalmost convex groupsThurston's eight geometries

Mathematics Subject Classification ID

Geometric group theory (20F65) Nilpotent groups (20F18) Fundamental group, presentations, free differential calculus (57M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Non-Euclidean differential geometry (53A35) Geometries with algebraic manifold structure (51H30)

Related Items

Growth of a PSL₂R Manifold Group, Thompson's group \(F\) is not almost convex., A non-Hopfian almost convex group., On the volumes of complex hyperbolic manifolds, COMPUTING WORD LENGTH IN ALTERNATE PRESENTATIONS OF THOMPSON'S GROUP F, Rational Growth and Almost Convexity of Higher-Dimensional Torus Bundles

Cites Work

• Unnamed Item
• A geometric approach to the almost convexity and growth of some nilpotent groups
• Almost convex groups
• Solvgroups are not almost convex
• The Geometries of 3-Manifolds