scientific article; zbMATH DE number 5056638

zbMath1107.20031arXivmath/0501542MaRDI QIDQ5488885

Mark V. Sapir, Alexander Yu. Ol'shanskii

Publication date: 25 September 2006

Full work available at URL: https://arxiv.org/abs/math/0501542

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zbMATH Keywords

presentationsasymptotic conesfinitely generated groupsHNN extensionsCayley graphsfree groupsisoperimetric functionsDehn functionsvan Kampen diagramsisodiametric functions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Asymptotic properties of groups (20F69) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (5)

Asymptotic cones of HNN extensions and amalgamated products. ⋮ Local topological properties of asymptotic cones of groups. ⋮ The homeomorphism problem for closed 3-manifolds ⋮ Conjugacy problem in groups with quadratic Dehn function ⋮ Asymptotic invariants, complexity of groups and related problems

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