Free and fragmenting filling length.

DOI10.1016/j.jalgebra.2006.05.030zbMath1117.20033arXivmath/0512162OpenAlexW2048390587MaRDI QIDQ863354

Martin R. Bridson, Timothy R. Riley

Publication date: 26 January 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512162

zbMATH Keywords

quasi-isometry invariantsfilling functionsshellingsfinite presentationsvan Kampen diagramsCayley complexesfragmentationsfree filling lengthsnull-homotopies

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (3)

Space functions and space complexity of the word problem in semigroups. ⋮ Space functions of groups ⋮ Asymptotic invariants, complexity of groups and related problems

Cites Work

• Filling length in finitely presentable groups.
• Automatic groups and amalgams
• Asymptotic cones and polynomial isoperimetric inequalities
• Isoperimetric inequalities for nilpotent groups.
• Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams
• THE DOUBLE EXPONENTIAL THEOREM FOR ISODIAMETRIC AND ISOPERIMETRIC FUNCTIONS
• ISODIAMETRIC AND ISOPERIMETRIC INEQUALITIES FOR GROUP PRESENTATIONS
• SOME DUALITY CONJECTURES FOR FINITE GRAPHS AND THEIR GROUP THEORETIC CONSEQUENCES
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