Spherical quadratic equations in free metabelian groups

DOI10.1090/proc/12662zbMath1339.20037arXiv1304.4898OpenAlexW2963094149MaRDI QIDQ2790248

Alexander Ushakov, Igor G. Lysenok

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4898

zbMATH Keywords

NP-completenesspolynomial time algorithmsequations over groupsDiophantine problemquadratic equationsfree metabelian groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) 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)

A remark on spherical equations in free metabelian groups ⋮ Quadratic equations in metabelian Baumslag–Solitar groups ⋮ Orientable quadratic equations in free metabelian groups ⋮ Diophantine problems in solvable groups ⋮ Magnus embedding and algorithmic properties of groups 𝐹/𝑁^{(𝑑)}

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