Length Functions and Free Products with Amalgamation of Groups

DOI10.1112/plms/s3-42.1.42zbMath0454.20030OpenAlexW2022448545MaRDI QIDQ3901688

Ian M. Chiswell

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1112/plms/s3-42.1.42

zbMATH Keywords

free product with amalgamationinteger-valued length functionlength of reduced wordnatural length function

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Special aspects of infinite or finite groups (20F99)

Related Items (7)

Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees) ⋮ The Gromov topology on \({\mathbb{R}}\)-trees ⋮ Length functions and pregroups ⋮ Subgroup theorem for valuated groups and the CSA property. ⋮ Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces ⋮ Constructing free actions on \(\mathbf R\)-trees ⋮ Some model theory for generalized trees

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