Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
DOI10.1006/jabr.1997.7184zbMath0904.20017OpenAlexW70112514MaRDI QIDQ1383969
Alexei G. Myasnikov, O. G. Kharlampovich
Publication date: 23 November 1998
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1997.7184
HNN extensionsfree productssubgroupsfully residually free groupsvarieties over free groupsresidually free groupsLyndon groupsolutions to equations over groups
Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)
Related Items (94)
Cites Work
- New estimates of odd exponents of infinite Burnside groups.
- A combination theorem for negatively curved groups
- Lower bounds on the size of bounded depth circuits over a complete basis with logical addition
- \(\exists\)-free groups as groups with length function
- Algebraic geometry over groups. I: Algebraic sets and ideal theory
- Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz
- \(\exists\)-free groups
- DECIDABILITY OF THE UNIVERSAL AND POSITIVE THEORIES OF A FREE GROUP
- ON SYSTEMS OF EQUATIONS IN A FREE GROUP
- EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS
- Hyperbolic groups and free constructions
- CSA-groups and separated free constructions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups