A simple proof of a theorem of Whyte.

DOI10.1007/S10711-004-2304-3zbMath1073.20033OpenAlexW2057890198MaRDI QIDQ1768260

Briana Cook, Alisha McCann, Eric M. Freden

Publication date: 15 March 2005

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

Full work available at URL: https://doi.org/10.1007/s10711-004-2304-3

zbMATH Keywords

HNN extensionsgraphs of groupsBaumslag-Solitar groupsBass-Serre treesquasi-isometry classes

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

Cites Work

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• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Deformation and rigidity of simplicial group actions on trees.
• An elementary approach to quasi-isometries of \(\text{Tree}\times\mathbb{R}^n\).
• Homogeneous trees are bilipschitz equivalent
• Some two-generator one-relator non-Hopfian groups
• The large scale geometry of the higher Baumslag-Solitar groups

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