The orders of nonsingular derivations of modular Lie algebras.

DOI10.1007/BF02784516zbMath1041.17021MaRDI QIDQ1860710

Sandro Mattarei

Publication date: 12 January 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

modular Lie algebranonsingular derivation

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50) Associated Lie structures for groups (20F40)

Related Items (6)

A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations ⋮ A sufficient condition for a number to be the order of a nonsingular derivation of a Lie algebra ⋮ Arithmetically-free group-gradings of Lie algebras. II ⋮ The structure of Lie algebras with a derivation satisfying a polynomial identity ⋮ The orders of nonsingular derivations of Lie algebras of characteristic two ⋮ Non-singular derivations of solvable Lie algebras in prime characteristic

Cites Work

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• Space groups and groups of prime-power order. I
• The structure of finite \(p\)-groups: Effective proof of the coclass conjectures
• Simple Lie algebras and Lie algebras of maximal class
• Finite-dimensional simple Lie algebras with a nonsingular derivation
• On groups of automorphisms of Lie algebras
• Lamps, Factorizations, and Finite Fields
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements

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