E. N. Poroshenko, E. I. Timoshenko, “Partially commutative groups and Lie algebras”, Сиб. электрон. матем. изв., 2021, том 18, выпуск 1,страницы 668

Обзоры

Partially commutative groups and Lie algebras

E. N. Poroshenko, E. I. Timoshenko

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

Аннотация: This is a survey of results on partially commutative groups and partially commutative Lie algebras.

Ключевые слова: 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.

УДК: 512.54, 512.554.3

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

Поступила 24 июня 2020 г., опубликована 4 июня 2021 г.

Язык публикации: английский

DOI: 10.33048/semi.2021.18.048