Doubles, finiteness properties of groups, and quadratic isoperimetric inequalities

DOI10.1006/jabr.1998.7710zbMath0926.20026OpenAlexW2026092010MaRDI QIDQ1291085

Martin R. Bridson

Publication date: 5 October 1999

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

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:72ad1435-4c1c-413b-8196-259eef65c6fd

zbMATH Keywords

finitely generated groupsfree products with amalgamationisoperimetric inequalitiesfinitely presented groupsDehn functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (7)

A subgroup of a direct product of free groups whose Dehn function has a cubic lower bound ⋮ The Dehn functions of Stallings-Bieri groups ⋮ Dehn functions of coabelian subgroups of direct products of groups ⋮ Residually free groups do not admit a uniform polynomial isoperimetric function ⋮ Horocyclic products of trees ⋮ Finite presentations for Kähler groups with arbitrary finiteness properties ⋮ The Dehn function of Stallings' group.

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