Equations over solvable groups
DOI10.1016/j.jalgebra.2023.10.004zbMath1527.20072arXiv2303.13240OpenAlexW4387523534MaRDI QIDQ6087808
Vitaliĭ Roman'kov, Mikhail A. Mikheenko, Anton A. Klyachko
Publication date: 16 November 2023
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.13240
metabelian groupsolvable groupgroup ringquasivarieties of groupsgroup extensionHowie conjecturesystems of equations over groups
Solvable groups, supersolvable groups (20F16) Group rings (16S34) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10) Algebraic geometry over groups; equations over groups (20F70)
Cites Work
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- Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator.
- New topological methods to solve equations over groups
- How to generalize known results on equations over groups.
- Equations over groups, and groups with one defining relation
- Infinite groups
- The descent method for equations over groups
- Solving equations of length seven over torsion-free groups
- Economical adjunction of square roots to groups.
- Klyachko's methods and the solution of equations over torsion-free groups
- Universal solvability of group equations
- Über die Multiplikation von Klassen algebraischer Systeme. (Multiplication of classes of algebraic systems)
- Equations over groups
- The Quotient of a Free Product of Groups by a Single High-Powered Relator. III. The Word Problem
- Solutions of equations over groups
- THE SOLUTION OF SETS OF EQUATIONS IN GROUPS
- On pairs of 2-complexes and systems of equations over groups.
- Equations in groups
- EQUATIONS OVER GROUPS AND GROUPS WITH A SINGLE DEFINING RELATION
- The solution of Length Four Equations Over Groups
- SOME APPROXIMATION PROPERTIES OF THE VARIETY $ \mathfrak{AN}_c$
- Equations over groups, quasivarieties, and a residual property of a free group
- Asphericity Tests
- On the solvability of a class of equations over groups
- Equations with torsion-free coefficients
- Solving equations of length at most six over torsion-free groups
- Equations of length 4 and one-relator products
- On singular equations over torsion-free groups
- ON SOLVABILITY OF CERTAIN EQUATIONS OF ARBITRARY LENGTH OVER TORSION-FREE GROUPS
- ON SOLVABILITY OF REGULAR EQUATIONS IN THE VARIETY OF METABELIAN GROUPS
- A funny property of sphere and equations over groups
- Hyperlinear and Sofic Groups: A Brief Guide
- Yet another Freiheitssatz: Mating finite groups with locally indicable ones
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