Nilpotency criteria for multiplicative Lie algebras

DOI10.1016/0022-4049(95)00115-8zbMath0863.20015OpenAlexW2085736064WikidataQ115364385 ScholiaQ115364385MaRDI QIDQ1921367

Patricia Wantiez, Françoise Point

Publication date: 3 June 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00115-8

zbMATH Keywords

Lie bracketsLie ringsnilpotency criteriagroup commutatorsHirsch-Plotkin theoremmultiplicative Lie algebrassoluble finitely generated Engel groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Solvable, nilpotent (super)algebras (17B30) Commutator calculus (20F12) Engel conditions (20F45)

Related Items (7)

Homology of multiplicative Lie rings ⋮ Second cohomology of multiplicative Lie rings and Schreier's extension theory ⋮ Theory of Extensions of Multiplicative Lie Algebras ⋮ Multiplicative Lie algebras and Schur multiplier ⋮ Exact sequences in homology of multiplicative Lie rings and a new version of Stallings' theorem ⋮ Lie commutator, solvability and nilpotency in multiplicative Lie algebras ⋮ Non-abelian tensor and exterior products of multiplicative Lie rings

Cites Work

• Commutator conditions and splitting automorphisms for stable groups
• Groups with the minimal condition on centralizers
• Conditions of quasi-nilpotency in certain varieties of groups
• Maximal Abelian Subgroups of the Symmetric Groups
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