Coproducts of rigid groups.
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Publication:541987
DOI10.1007/S10469-011-9116-YzbMath1236.20039OpenAlexW2042596662MaRDI QIDQ541987
Publication date: 8 June 2011
Published in: Algebra and Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10469-011-9116-y
Noncommutative algebraic geometry (14A22) Solvable groups, supersolvable groups (20F16) Extensions, wreath products, and other compositions of groups (20E22) Derived series, central series, and generalizations for groups (20F14) Algebraic geometry over groups; equations over groups (20F70)
Related Items (13)
Decomposition of a group over an abelian normal subgroup ⋮ Partially divisible completions of rigid metabelian pro-\(p\)-groups ⋮ Algebraic sets in a finitely generated 2-step solvable rigid pro-\(p\)-group. ⋮ Model-theoretic aspects of the theory of divisible rigid soluble groups ⋮ Generic types and generic elements in divisible rigid groups ⋮ Algebraic geometry over algebraic structures. VI: Geometrical equivalence ⋮ Divisible rigid groups. Algebraic closedness and elementary theory ⋮ Characterization of finitely generated groups by types ⋮ Solvability of equations in classes of solvable groups and Lie algebras ⋮ Divisible rigid groups. III: Homogeneity and quantifier elimination ⋮ Algebraic sets in a divisible 2-rigid group ⋮ The coordinate group of an affine space over a rigid metabelian pro-\(p\)-group. ⋮ Logical aspects of the theory of divisible rigid groups.
Cites Work
- Krull dimension of solvable groups.
- Algebraic geometry over groups. I: Algebraic sets and ideal theory
- Algebraic geometry over groups. II: Logical foundations
- Applications of a New K-Theoretic Theorem to Soluble Group Rings
- Irreducible Algebraic Sets in Metabelian Groups
- The property of being equationally Noetherian for some soluble groups
- A Note on Zero Divisors in Group-Rings
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