On some reciprocal relations between the factors of the upper and lower central series in Lie algebras

DOI10.15407/DOPOVIDI2015.05.021zbMath1340.17021OpenAlexW2313179930MaRDI QIDQ3464155

Igor Ya. Subbotin, Aleksander A. Pypka, Leonid A. Kurdachenko

Publication date: 20 January 2016

Published in: Reports of the National Academy of Sciences of Ukraine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/dopovidi2015.05.021

zbMATH Keywords

lower central seriesupper central seriesBaer theoremnilpotent residualupper hypercenterZ-decomposition

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Structure theory for Lie algebras and superalgebras (17B05) Automorphism groups of groups (20F28) Solvable, nilpotent (super)algebras (17B30) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Unnamed Item ⋮ On extension of classical Baer results to Poisson algebras ⋮ On the relationships between the factors of upper and lower central series in groups and other algebraic structures

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