Frattini theory for restricted Lie algebras

DOI10.1007/BF01195370zbMath0578.17008MaRDI QIDQ1066248

Mark Lincoln, David A. Towers

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

restricted Lie algebrasnilpotent Lie algebrasnilradicalprime characteristicFrattini idealFrattini subalgebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items

Completion of restricted Lie algebras ⋮ Enveloping algebras that are principal ideal rings ⋮ Power closure and the Engel condition ⋮ The Frattini \(p\)-subsystem of a solvable restricted Lie triple system ⋮ On the subalgebra lattice of a restricted Lie algebra ⋮ Filtered multiplicative bases of restricted enveloping algebras ⋮ The Frattini p-subalgebra of a solvable Lie p-algebra ⋮ On the growth of subalgebras in Lie \(p\)-algebras ⋮ Restricted Lie algebras in which every restricted subalgebra is an ideal ⋮ Restricted Lie algebras having a distributive lattice of restricted subalgebras ⋮ Rational points and orbits on the variety of elementary subalgebras

Cites Work

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• Two ideals of an algebra closely related to its Frattini ideal
• On the cohomology of soluble Lie algebras
• A Frattini Theory for Algebras