Quasi-isometries between tubular groups.

DOI10.4171/GGD/92zbMath1243.20052arXiv0707.1502OpenAlexW2042500547MaRDI QIDQ990730

Christopher H. Cashen

Publication date: 1 September 2010

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1502

zbMATH Keywords

algorithmsfinitely generated groupsquasi-isometriesgraphs of groupsBass-Serre treessnowflake groupsaccessible groupsfinite time decidabilitytubular groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Groups acting on trees (20E08)

Related Items (6)

Cubular tubular groups ⋮ Quasi-isometries between groups with two-ended splittings ⋮ Line patterns in free groups. ⋮ Abstract commensurability and quasi-isometry classification of hyperbolic surface group amalgams ⋮ Residually finite tubular groups ⋮ Quasi-actions on trees II: Finite depth Bass-Serre trees

Cites Work

• Snowflake groups, Perron-Frobenius eigenvalues and isoperimetric spectra.
• There is only one gap in the isoperimetric spectrum
• Quasi-isometric classification of graph manifold groups.
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