Equations and algebraic geometry over profinite groups.

DOI10.1007/S10469-010-9108-3zbMath1255.20043OpenAlexW1966938341MaRDI QIDQ694212

S. G. Melesheva

Publication date: 11 December 2012

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-010-9108-3

zbMATH Keywords

profinite groupsequations over groupsuniversal theoriescoordinate groupsequationally Noetherian groupslinear pro-\(p\)-groups

Mathematics Subject Classification ID

Limits, profinite groups (20E18) Algebraic geometry over groups; equations over groups (20F70)

Related Items (5)

Partially divisible completions of rigid metabelian pro-\(p\)-groups ⋮ Algebraic sets in a finitely generated 2-step solvable rigid pro-\(p\)-group. ⋮ Pro-Hall \(R\)-groups and groups discriminated by the free pro-\(p\) group. ⋮ Rigid metabelian pro-\(p\)-groups. ⋮ The coordinate group of an affine space over a rigid metabelian pro-\(p\)-group.

Cites Work

• Elementary theory of free non-abelian groups.
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz
• Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
• Algebraic geometry over groups. II: Logical foundations
• Diophantine geometry over groups. I: Makanin-Razborov diagrams
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• The property of being equationally Noetherian for some soluble groups
• Varieties of groups
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Equations and algebraic geometry over profinite groups.