Combinatorial distance between HNN decompositions of a group

DOI10.1016/0022-4049(92)90172-CzbMath0801.20003OpenAlexW2094908044MaRDI QIDQ1208198

Osamu Kakimizu

Publication date: 16 May 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90172-c

zbMATH Keywords

presentationdistance functionfinitely presentedHNN extensionfinitely generatedHNN decompositionsBritton's reduced wordepimorphism onto \(\mathbb{Z}\)

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)

Cites Work

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• Amalgamated products and finitely presented groups
• Embedding Theorems for Groups
• The word problem

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