On embedding of partially commutative metabelian groups to matrix groups

DOI10.22108/ijgt.2017.21478zbMath1446.20054OpenAlexW2739416033MaRDI QIDQ5124059

E. I. Timoshenko

Publication date: 17 September 2020

Full work available at URL: https://doaj.org/article/69e04dc497f747c4bbc8d3e22993a131

zbMATH Keywords

metabelian grouppartially commutative groupuniversal theoryequations in groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Algebraic geometry over groups; equations over groups (20F70) Other groups of matrices (20H99)

Related Items (2)

Mal’tsev bases for partially commutative nilpotent groups ⋮ Partially commutative groups and Lie algebras

Cites Work

• Partially commutative metabelian groups: centralizers and elementary equivalence.
• Universal equivalence of partially commutative metabelian groups.
• Universal theories for partially commutative metabelian groups.
• A Mal'tsev basis for a partially commutative nilpotent metabelian group.
• The automorphism group of a graph product with no SIL.
• Universal theory of certain solvable groups and bounded Ore group rings
• Metabelian groups with a single defining relation and the Magnus embedding
• Properties and universal theories for partially commutative nilpotent metabelian groups.
• Some properties of a Magnus embedding
• A GENERATING SET FOR THE AUTOMORPHISM GROUP OF A GRAPH PRODUCT OF ABELIAN GROUPS

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