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

zbMATH Keywords

finitely generated groupshyperbolic groupsalgebraic setscoordinate groupsalgebraic geometry over groupsuniversal equivalencesfree constructionsCSA-groupsLyndon extensions

Mathematics Subject Classification ID

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)

Limit groups over coherent right-angled Artin groups ⋮ ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS

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
• 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
• 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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