The Diophantine problem in some metabelian groups

DOI10.1090/mcom/3533OpenAlexW3006408918MaRDI QIDQ5113678

O. G. Kharlampovich, Laura López, Alexei G. Myasnikov

Publication date: 15 June 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10068

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Algebraic geometry over groups; equations over groups (20F70)

Related Items (7)

Metabelian groups: full-rank presentations, randomness and Diophantine problems ⋮ Lamplighter groups and automata ⋮ Quadratic equations in metabelian Baumslag–Solitar groups ⋮ EDT0L solutions to equations in group extensions ⋮ Using \textsc{edt0l} systems to solve some equations in the solvable Baumslag-Solitar groups ⋮ Unnamed Item ⋮ On equations and first-order theory of one-relator monoids

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• Equations in Free Groups
• ON THE ELEMENTARY THEORY OF AN ALMOST POLYCYCLIC GROUP
• Diophantine Sets over Some Rings of Algebraic Integers
• Elementary properties of Abelian groups
• Equations in free metabelian groups

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