On the solvability problem for equations with a single coefficient

DOI10.1007/BF02307209zbMath0886.20016OpenAlexW2054874256MaRDI QIDQ1360818

V. G. Durnev

Publication date: 12 May 1998

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02307209

zbMATH Keywords

free groupscommutator subgroupsequations with a single coefficientsolvability for equations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (2)

Algorithmic undecidability of compatibility problem for equations in free groups: explicit equations with one commutator-type constraint ⋮ Unnamed Item

Cites Work

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• The equation \(a^n b^n=c^n\) in a free group
• Stable length of commutators
• Über Automorphismen ebener diskontinuierlicher Gruppen
• A general solution of binary homogeneous equations over free groups
• On a Problem of Lyndon
• On the endomorphism problem for free groups
• Dependence in groups
• On the Substitution Problem for Free Groups
• Groups of cohomological dimension one

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