Solving one-variable equations in free groups

DOI10.1515/JGT.2008.080zbMath1196.20051arXivmath/0607176OpenAlexW2104853817MaRDI QIDQ3619537

Robert H. Gilman, Dimitri Bormotov, Alexei G. Myasnikov

Publication date: 8 April 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607176

zbMATH Keywords

cancellationfree groupsformal languagessolution setspolynomial-time algorithmsone-variable equationsparametric words

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Combinatorics on words (68R15) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Algebraic geometry over groups; equations over groups (20F70)

Related Items (5)

Random equations in free groups ⋮ Algorithmic undecidability of compatibility problem for equations in free groups: explicit equations with one commutator-type constraint ⋮ Equations over free inverse monoids with idempotent variables ⋮ A polynomial bound on solutions of quadratic equations in free groups. ⋮ On systems of equations over free partially commutative groups

Cites Work

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• One-Variable Equations in Free Groups

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