A non-Hopfian almost convex group.

DOI10.1016/j.jalgebra.2003.04.004zbMath1042.20011arXivmath/0611874OpenAlexW2046203438MaRDI QIDQ1421796

Murray J. Elder

Publication date: 3 February 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611874

zbMATH Keywords

HNN-extensionsnon-Hopfian groupsalmost convex groupsfalsification by fellow traveller property

Mathematics Subject Classification ID

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)

Related Items (2)

Cubular tubular groups ⋮ Regular geodesic languages and the falsification by fellow traveler property.

Cites Work

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• Small cancellation theory and automatic groups
• Almost convex groups
• Coxeter groups are almost convex
• Finiteness and the falsification by fellow traveler property.
• Automatic structures, rational growth, and geometrically finite hyperbolic groups
• Almost convex groups and the eight geometries
• A non-Hopfian automatic group
• PATTERNS THEORY AND GEODESIC AUTOMATIC STRUCTURE FOR A CLASS OF GROUPS

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