Mal’tsev bases for partially commutative nilpotent groups

DOI10.1142/S0218196721500636MaRDI QIDQ5063196

E. I. Timoshenko

Publication date: 17 March 2022

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.11134

zbMATH Keywords

basispartially commutative grouppartially commutative Lie algebra

Mathematics Subject Classification ID

Nilpotent groups (20F18)

Related Items (1)

Embedding of free nilpotent (metabelian) groups in partially commutative nilpotent (metabelian) groups

Cites Work

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• Partially commutative metabelian groups: centralizers and elementary equivalence.
• Subgroups of graph groups
• Graph groups, coherence, and three-manifolds
• Universal equivalence of partially commutative metabelian groups.
• Universal theories for partially commutative metabelian groups.
• Bases for partially commutative Lie algebras
• A Mal'tsev basis for a partially commutative nilpotent metabelian group.
• The free partially commutative Lie algebra: Bases and ranks
• The lower central series of the free partially commutative group
• On linear and residual properties of graph products
• Centralizer dimensions and universal theories for partially commutative metabelian groups
• Centralizer dimensions of partially commutative metabelian groups
• Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups.
• Automorphisms of partially commutative metabelian groups
• Combinatorial problems of commutation and rearrangements
• Isomorphisms of Graph Groups
• On embedding of partially commutative metabelian groups to matrix groups
• A basis for a partially commutative metabelian group
• Some Word-Problems
• Free differential calculus. IV: The quotient groups of the lower central series

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