Exponential extensions of groups
DOI10.1515/JGT.2008.008zbMath1135.20019OpenAlexW2045813778MaRDI QIDQ5444873
D. E. Serbin, O. G. Kharlampovich, Alexei G. Myasnikov, Vladimir N. Remeslennikov
Publication date: 26 February 2008
Published in: Journal of Group Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jgt.2008.008
finitely generated groupshyperbolic groupsalgebraic setscoordinate groupsalgebraic geometry over groupsuniversal equivalencesfree constructionsCSA-groupsLyndon extensions
Noncommutative algebraic geometry (14A22) Subgroup theorems; subgroup growth (20E07) 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) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08)
Related Items (2)
Cites Work
- Discriminating completions of hyperbolic groups
- Exact sequences associated with a graph of 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
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- Algebraic geometry over groups. II: Logical foundations
- Cohomology theory of groups with a single defining relation
- Groups With Parametric Exponents
- EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS
- CSA-groups and separated free constructions
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