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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 668–693
DOI: https://doi.org/10.33048/semi.2021.18.048 (Mi semr1389) 		 
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Partially commutative groups and Lie algebras

E. N. Poroshenko, E. I. Timoshenko

Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.048
Abstract: This is a survey of results on partially commutative groups and partially commutative Lie algebras.
Keywords: group, Lie algebra, partially commutative group, partially commutative Lie algebra, varieties of group, varieties of Lie algebras, group automorphism, basis, centralizer, centralizer dimension, decomposition of a group, nilpotent group, nilpotent Lie algebra, metabelian group, metabelian Lie algebra, pro-$p$-group, universal theory, elementary theory.
Received June 24, 2020, published June 4, 2021
Bibliographic databases:
Document Type: Article
UDC: 512.54, 512.554.3
MSC: 20E10, 20E36, 20F16, 20F18, 20F28, 17B01
Language: English
Citation: E. N. Poroshenko, E. I. Timoshenko, “Partially commutative groups and Lie algebras”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 668–693
Citation in format AMSBIB
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\by E.~N.~Poroshenko, E.~I.~Timoshenko
\paper Partially commutative groups and Lie algebras
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 668--693
\mathnet{http://mi.mathnet.ru/semr1389}
\crossref{https://doi.org/10.33048/semi.2021.18.048}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000674357100001}
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