On Dehn functions of free products of groups

DOI10.1090/S0002-9939-99-04579-7zbMath0942.20023OpenAlexW1664190959MaRDI QIDQ4243654

Victor S. Guba, Mark V. Sapir

Publication date: 19 May 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04579-7

zbMATH Keywords

presentationsfree productsfinitely presented groupsDehn functionssubnegative functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (12)

Solvable groups with polynomial Dehn functions ⋮ Geometric presentations of Lie groups and their Dehn functions ⋮ Filling and surfaces of revolution. ⋮ Space functions and space complexity of the word problem in semigroups. ⋮ Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan) ⋮ Dehn functions of coabelian subgroups of direct products of groups ⋮ Relative Dehn functions, hyperbolically embedded subgroups and combination theorems ⋮ Algorithmic problems in groups with quadratic Dehn function ⋮ Relative hyperbolicity and relative quasiconvexity for countable groups. ⋮ Density of isoperimetric spectra. ⋮ Space functions of groups ⋮ Asymptotic invariants, complexity of groups and related problems

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