Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 161-176
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F. J. Grunewald; B. È. Kunyavskii; D. B. Nikolova; E. B. Plotkin. Two-variable identities in groups and Lie algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 161-176. http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a7/
@article{ZNSL_2000_272_a7,
author = {F. J. Grunewald and B. \`E. Kunyavskii and D. B. Nikolova and E. B. Plotkin},
title = {Two-variable identities in groups and {Lie} algebras},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {161--176},
year = {2000},
volume = {272},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a7/}
}
TY - JOUR
AU - F. J. Grunewald
AU - B. È. Kunyavskii
AU - D. B. Nikolova
AU - E. B. Plotkin
TI - Two-variable identities in groups and Lie algebras
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2000
SP - 161
EP - 176
VL - 272
UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a7/
LA - en
ID - ZNSL_2000_272_a7
ER -
%0 Journal Article
%A F. J. Grunewald
%A B. È. Kunyavskii
%A D. B. Nikolova
%A E. B. Plotkin
%T Two-variable identities in groups and Lie algebras
%J Zapiski Nauchnykh Seminarov POMI
%D 2000
%P 161-176
%V 272
%U http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a7/
%G en
%F ZNSL_2000_272_a7
We study two-variable Engel-like relations and identities characterizing finite dimensional solvable Lie algebras and, conjecturally, finite solvable groups, and introduce some invariants of finite groups associated to such relations.