Solvable groups with polynomial Dehn functions

DOI10.1090/S0002-9947-02-02985-9zbMath0998.20040MaRDI QIDQ4529739

Denis V. Osin, Goulnara N. Arzhantseva

Publication date: 6 May 2002

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

zbMATH Keywords

HNN extensionsfinitely presented groupssolvable groupsmetabelian groupsBaumslag-Solitar groupsisoperimetric functionsDehn functionsvan Kampen diagrams

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) 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) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (9)

Hyperbolic hydra. ⋮ Computability of Følner sets ⋮ Weak commutativity, virtually nilpotent groups, and Dehn functions ⋮ The Dehn function of Baumslag's metabelian group. ⋮ Dehn functions of finitely presented metabelian groups ⋮ ${\mathcal{B}$-BOUNDED COHOMOLOGY AND APPLICATIONS ⋮ On quadratic Dehn functions. ⋮ Decision and Search in Non-Abelian Cramer-Shoup Public Key Cryptosystem ⋮ The large-scale geometry of locally compact solvable groups

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