Minimal words in the free group of rank two

DOI10.1016/0022-4049(80)90055-9zbMath0438.20016OpenAlexW2044496651MaRDI QIDQ1141747

Carlos Marcelo Sanchez

Publication date: 1980

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(80)90055-9

zbMATH Keywords

free productautomorphisms of free groupstwo generator, one relator groupword of minimal length

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) 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

Growing words in the free group on two generators. ⋮ Model-theoretic and algorithmic questions in group theory

Cites Work

• Unnamed Item
• Groups with homological duality generalizing Poincaré duality
• On groups satisfying Poincaré duality
• Decomposition of a Group with a Single Defining Relation into a Free Product

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