Partially commutative groups and Lie algebras

E. N. Poroshenko ; E. I. Timoshenko

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 668-693.

Résumé

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

Détail

Keywords: Lie algebra, partially commutative group, partially commutative Lie algebra, varieties of group, varieties of Lie algebras, basis, centralizer, centralizer dimension, nilpotent group, nilpotent Lie algebra, metabelian group, metabelian Lie algebra, universal theory, elementary theory.
Mots-clés : group, group automorphism, decomposition of a group, pro-$p$-group

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