Partially commutative groups and Lie algebras
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 668-693
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This is a survey of results on partially commutative groups and partially commutative Lie algebras.
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
Mots-clés : group, group automorphism, decomposition of a group, pro-$p$-group
@article{SEMR_2021_18_1_a38,
author = {E. N. Poroshenko and E. I. Timoshenko},
title = {Partially commutative groups and {Lie} algebras},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {668--693},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a38/}
}
TY - JOUR AU - E. N. Poroshenko AU - E. I. Timoshenko TI - Partially commutative groups and Lie algebras JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2021 SP - 668 EP - 693 VL - 18 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a38/ LA - en ID - SEMR_2021_18_1_a38 ER -
E. N. Poroshenko; E. I. Timoshenko. Partially commutative groups and Lie algebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 668-693. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a38/