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Algebra i logika, 2022, Volume 61, Number 4, Pages 483–499
DOI: https://doi.org/10.33048/alglog.2022.61.407 (Mi al2724) 		 
Intersection of centralizers in a partially commutative metabelian group

E. I. Timoshenko

Novosibirsk State Technical University
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DOI: https://doi.org/10.33048/alglog.2022.61.407
Abstract: For a partially commutative metabelian group, necessary and sufficient conditions on a defining graph are found under which the intersection of centralizers of two distinct vertices of the graph and the commutator subgroup is trivial.
Keywords: partially commutative group, metabelian group, graph, cycle, clique.
Received: 30.12.2021
Revised: 29.03.2023
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: E. I. Timoshenko, “Intersection of centralizers in a partially commutative metabelian group”, Algebra Logika, 61:4 (2022), 483–499
Citation in format AMSBIB
\Bibitem{Tim22}
\by E.~I.~Timoshenko
\paper Intersection of centralizers in a partially commutative metabelian group
\jour Algebra Logika
\yr 2022
\vol 61
\issue 4
\pages 483--499
\mathnet{http://mi.mathnet.ru/al2724}
\crossref{https://doi.org/10.33048/alglog.2022.61.407}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=255692}
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