Reviews

Partially commutative groups and Lie algebras

E. N. Poroshenko, E. I. Timoshenko

Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia

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.

UDC: 512.54, 512.554.3

MSC: 20E10, 20E36, 20F16, 20F18, 20F28, 17B01

Received June 24, 2020, published June 4, 2021

Language: English

DOI: 10.33048/semi.2021.18.048

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