Intrinsic tame filling functions are equivalent to intrinsic diameter functions

DOI10.1142/S0218196722500011OpenAlexW3201815480MaRDI QIDQ5063198

Andrew Quaisley

Publication date: 17 March 2022

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

Full work available at URL: https://arxiv.org/abs/2103.11507

zbMATH Keywords

filling functionsisodiametric functionstame filling functions

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)

Cites Work

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• Artin groups of finite type are biautomatic
• The geometry of the word problem for finitely generated groups.
• Almost convex groups
• A finiteness property and an automatic structure for Coxeter groups
• The geometry of cube complexes and the complexity of their fundamental groups
• Combinatorial group theory.
• Coxeter groups are almost convex
• Isoperimetric and isodiametric functions of groups
• Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams
• Shortlex automaticity and geodesic regularity in Artin groups
• Tame filling invariants for groups
• The topology of graph products of groups
• Tame Combings of Groups
• Mapping class groups are automatic

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