A Mal'tsev basis for a partially commutative nilpotent metabelian group.

DOI10.1007/s10469-011-9154-5zbMath1259.20035OpenAlexW2067730848MaRDI QIDQ694227

E. I. Timoshenko

Publication date: 11 December 2012

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-011-9154-5

zbMATH Keywords

Mal'tsev basespartially commutative nilpotent metabelian groupsvarieties of soluble groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10)

Related Items (12)

Universal equivalence of some countably generated partially commutative structures ⋮ Mal’tsev bases for partially commutative nilpotent groups ⋮ Universal equivalence of partially commutative Lie algebras ⋮ Properties and universal theories for partially commutative nilpotent metabelian groups. ⋮ Centralizers in partially commutative Lie algebras ⋮ Examples of finitely generated metabelian groups not residually finite with respect to conjugacy and occurrence, and representation of groups of the form \(F/R'\gamma_m(F) \) ⋮ Embedding of free nilpotent (metabelian) groups in partially commutative nilpotent (metabelian) groups ⋮ Universal equivalence of partially commutative metabelian Lie algebras ⋮ A basis for a partially commutative metabelian group ⋮ On embedding of partially commutative metabelian groups to matrix groups ⋮ A basis for the commutator subgroup of a partially commutative metabelian pro-\(p\)-group ⋮ On Universal Equivalence of Partially Commutative Metabelian Lie Algebras

Cites Work

• Unnamed Item
• Universal equivalence of partially commutative metabelian groups.
• Parabolic and quasiparabolic subgroups of free partially commutative groups.
• Varieties of groups

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