On Finite Presentations for Groups

DOI10.2307/2042246zbMath0436.20021OpenAlexW4250351968MaRDI QIDQ3876120

Robert Craggs

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042246

zbMATH Keywords

balanced presentationsfinitely-presented groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

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• Recursive unsolvability of group theoretic problems
• A topological proof of Grushko's theorem on free products
• Groups of order 1. Some properties of presentations
• Über Identitäten zwischen Relationen
• Note on Nielsen Transformations
• Subgroups of finitely presented groups
• Group Presentations and Formal Deformations
• Über den Homotopietyp zweidimensionaler CW-Komplexe und Elementartransformationen bei Darstellungen von Gruppen durch Erzeugende und definierende Relationen.
• Open Book Decompositions of 3-Manifolds
• On Group-Theoretic Decision Problems and Their Classification. (AM-68)
• Free Groups and Handlebodies
• Grushko's Theorem
• Extended Nielsen Operations in Free Groups
• On the Number of Generators of a Free Product
• Embedding Theorems for Groups

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