Embeddings into Simple Free Products

DOI10.2307/2045597zbMath0567.20013OpenAlexW4241673502MaRDI QIDQ3682655

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Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045597

zbMATH Keywords

free groupsamalgamated free productrecursive presentationsolvable word problem2-generator simple groupcommuting free subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) 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)

Related Items

Fixed points and amenability in non-positive curvature, The word problem of the Brin-Thompson group is \textsf{coNP}-complete

Cites Work

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• An algebraic characterization of groups with soluble word problem
• Embeddings into Simple Groups
• Simple Free Products