Tame filling invariants for groups

DOI10.1142/S0218196715500204zbMath1364.20024arXiv1410.2669OpenAlexW1864177514MaRDI QIDQ2942802

Mark Brittenham, Susan M. Hermiller

Publication date: 11 September 2015

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2669

zbMATH Keywords

rewriting systemalmost convex groupfilling invariantstackable group

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (4)

Intrinsic tame filling functions are equivalent to intrinsic diameter functions ⋮ Geometry of the word problem for 3-manifold groups ⋮ Homology and closure properties of autostackable groups ⋮ An example of an automatic graph of intermediate growth

Cites Work

• Tame combing and almost convexity conditions.
• The Dehn function of Richard Thompson's group \(F\) is quadratic.
• Almost convex groups
• Thompson's group \(F\) is not almost convex.
• Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams
• Tame Combings of Groups
• Measuring the tameness of almost convex groups

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