The equation w(x, y) = u over free groups: an algebraic approach
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Publication:3393376
DOI10.1515/JGT.2008.100zbMath1177.20050arXiv0705.4246MaRDI QIDQ3393376
Publication date: 20 August 2009
Published in: Journal of Group Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.4246
Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Algebraic geometry over groups; equations over groups (20F70)
Related Items (3)
The complexity of solution sets to equations in hyperbolic groups ⋮ JSJ DECOMPOSITIONS OF DOUBLES OF FREE GROUPS ⋮ The fully residually \(F\) quotients of \(F*\langle x,y\rangle\).
Cites Work
- The isomorphism problem for finitely generated fully residually free groups.
- Topology of finite graphs
- Decompositions of free groups
- Cyclic splittings of finitely presented groups and the canonical JSJ deccomposition
- What does a basis of F(a,b) look like?
- Algebraic geometry over groups. I: Algebraic sets and ideal theory
- Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
- Stallings foldings and subgroups of free groups
- Residual nilpotence and relations in free groups
- \(\exists\)-free groups
- EQUATIONS IN A FREE GROUP
- Equations in Free Groups
- POLYNOMIAL-TIME COMPLEXITY FOR INSTANCES OF THE ENDOMORPHISM PROBLEM IN FREE GROUPS
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