On the rank of quadratic equations in free groups

DOI10.1016/0022-4049(89)90105-9zbMath0687.20029OpenAlexW2008112459MaRDI QIDQ1262951

Leo P. jun. Comerford, Charles C. Edmunds

Publication date: 1989

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(89)90105-9

zbMATH Keywords

free groupsendomorphismreduced wordrank of a solutionranks of quadratic equationssolution to an equation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) 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)

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Cites Work

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• Quadratic equations over free groups and free products
• The equation \(a^2b^2=c^2\) in free groups
• Solutions d'une équation quadratique dans le groupe libre. (Solutions of a quadratic equation in the free group)
• Equations quadratiques dans le groupe libre
• ON SYSTEMS OF EQUATIONS IN A FREE GROUP
• On the Endomorphism Problem for Free Groups II
• Dependence in groups
• Alternierende Produkte in freien Gruppen

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