Continuously many quasiisometry classes of \(2\)-generator groups

DOI10.1007/s000140050053zbMath0924.20032OpenAlexW1979379071MaRDI QIDQ1392745

Brian H. Bowditch

Publication date: 9 November 1999

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140050053

zbMATH Keywords

presentationsgroups of exponential growthsmall cancellation groupsgroups of intermediate growthquasiisometry classes of \(2\)-generator groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (10)

Infinitely presentedC(6)-groups are SQ-universal ⋮ Continuously many quasi-isometry classes of residually finite groups ⋮ Asymptotic and Assouad–Nagata dimension of finitely generated groups and their subgroups ⋮ Infinitely presented graphical small cancellation groups are acylindrically hyperbolic ⋮ Cayley graphs of finitely generated groups ⋮ On the complexity of the quasi-isometry and virtual isomorphism problems for finitely generated groups ⋮ Actions of small cancellation groups on hyperbolic spaces ⋮ The geometry of generalized loxodromic elements ⋮ Densely related groups ⋮ Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity.

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