Quadratic equations over small cancellation groups

DOI10.1016/0021-8693(81)90137-XzbMath0461.20016MaRDI QIDQ1152457

Leo P. jun. Comerford

Publication date: 1981

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

equations over groupssmall cancellation groupsalgorithm for solving quadratic equations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (6)

Algorithmic undecidability of compatibility problem for equations in free groups: explicit equations with one commutator-type constraint ⋮ A polynomial bound on solutions of quadratic equations in free groups. ⋮ Solutions of quadratic equations in groups with small cancellation condition ⋮ Homomorphism diagrams of surface groups ⋮ On systems of equations over free partially commutative groups ⋮ Model-theoretic and algorithmic questions in group theory

Cites Work

• Quadratic equations over free groups and free products
• On the endomorphism problem for free groups
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