Lie commutator, solvability and nilpotency in multiplicative Lie algebras

DOI10.1142/S0219498821501383OpenAlexW3036266301WikidataQ115245590 ScholiaQ115245590MaRDI QIDQ5157744

Mani Shankar Pandey, Sumit Kumar Upadhyay, Ramji Lal

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821501383

zbMATH Keywords

nilpotent groupsolvable groupcommutatormultiplicative Lie algebra

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15) Commutator calculus (20F12)

Cites Work

• Unnamed Item
• Algebra 2. Linear algebra, Galois theory, representation theory, group extensions and Schur multiplier
• Homology of multiplicative Lie rings
• Nilpotency criteria for multiplicative Lie algebras
• Multiplicative Lie algebras and Schur multiplier

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