Diophantine problems in solvable groups

DOI10.1142/S1664360720500058OpenAlexW3003982297MaRDI QIDQ4997864

Denis Ovchinnikov, Albert Garreta, Alexei G. Myasnikov

Publication date: 30 June 2021

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04085

zbMATH Keywords

solvable groupsHilbert's 10th problemDiophantine problemring of algebraic integers

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Undecidability and degrees of sets of sentences (03D35) Decidability of theories and sets of sentences (03B25) 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)

The Diophantine problem in the classical matrix groups ⋮ Metabelian groups: full-rank presentations, randomness and Diophantine problems ⋮ Full rank presentations and nilpotent groups: structure, Diophantine problem, and genericity ⋮ The Diophantine problem for systems of algebraic equations with exponents ⋮ On equations and first-order theory of one-relator monoids

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