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Solvgroups are not almost convex

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Publication:1263137
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DOI10.1007/BF00147461zbMath0687.57018MaRDI QIDQ1263137

William P. Thurston, Matthew A. Grayson, William J. Floyd, James W. Cannon

Publication date: 1989

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


zbMATH Keywords

Cayley graphsalmost convex groupscocompact discrete groupsolvgeometry


Mathematics Subject Classification ID

Geometric group theory (20F65) Differential geometry of homogeneous manifolds (53C30) Discrete subgroups of Lie groups (22E40) Fundamental group, presentations, free differential calculus (57M05) Discontinuous groups of transformations (57S30)


Related Items

Almost convex groups and the eight geometries, Growth of a PSL2R Manifold Group, Thompson's group \(F\) is not almost convex., Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation, A geometric approach to the almost convexity and growth of some nilpotent groups, A Glimpse into Thurston’s Work, Rational Growth and Almost Convexity of Higher-Dimensional Torus Bundles, Examples of growth series of torus bundle groups



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