On partially commutative groups and the relevant algebras with commutation

DOI10.1134/S0037446622050159OpenAlexW4300818237MaRDI QIDQ2088636

E. I. Timoshenko

Publication date: 6 October 2022

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446622050159

zbMATH Keywords

metabelian groupcommutationpartially commutative groupuniversal theoryremeslennikov conjecture

Mathematics Subject Classification ID

Special aspects of infinite or finite groups (20Fxx) Model theory (03Cxx) Structure and classification of infinite or finite groups (20Exx)

Cites Work

• Algorithmic decidability of the universal equivalence problem for partially commutative nilpotent groups
• Partially commutative metabelian groups: centralizers and elementary equivalence.
• Universal equivalence of partially commutative metabelian groups.
• Universal theories for partially commutative metabelian groups.
• Centralizer dimensions and universal theories for partially commutative metabelian groups
• Elementary equivalence and direct product decompositions of partially commutative groups of varieties
• The persistence of universal formulae in free algebras

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