∀-free metabelian groups
From MaRDI portal
Publication:4338320
DOI10.2307/2275737zbMath0914.20030OpenAlexW1590776466MaRDI QIDQ4338320
Publication date: 7 April 1999
Published in: Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2275737
Applications of logic to group theory (20A15) Solvable groups, supersolvable groups (20F16) Model-theoretic algebra (03C60) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10)
Related Items (15)
LIMITS OF METABELIAN GROUPS ⋮ On splittings, subgroups, and theories of partially commutative metabelian groups ⋮ Universal theories for free solvable groups. ⋮ Algebraic geometry over algebraic structures. II: Foundations ⋮ Krull dimension of solvable groups. ⋮ On the universal theories of generalized rigid metabelian groups ⋮ Theories of relatively free solvable groups with extra predicate ⋮ Universal theories for rigid soluble groups. ⋮ Identities of the soluble product of Abelian groups. ⋮ Partially commutative groups and Lie algebras ⋮ Ordering the space of finitely generated groups ⋮ Groups universally equivalent to the solvable Baumslag-Soliter group ⋮ On the theories of free solvable groups ⋮ Group signature formulas constructed from graphs ⋮ Rigid metabelian pro-\(p\)-groups.
Cites Work
- Unnamed Item
- \(\exists\)-free groups as groups with length function
- Universal theory of certain solvable groups and bounded Ore group rings
- Preservation of elementary and universal equivalence under the wreath product
- Wreath products and extensions
- DECIDABILITY OF THE UNIVERSAL AND POSITIVE THEORIES OF A FREE GROUP
- The persistence of universal formulae in free algebras
- Questions of decidability and undecidability in Number Theory
This page was built for publication: ∀-free metabelian groups
