On groups and Lie algebras admitting a Frobenius group of automorphisms.

DOI10.1016/J.JPAA.2012.04.015zbMath1262.20029OpenAlexW2022178533WikidataQ115345488 ScholiaQ115345488MaRDI QIDQ1940206

P. V. Shumyatskij, Jhone Caldeira, Emerson de Melo

Publication date: 6 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.04.015

zbMATH Keywords

centralizersnilpotencyFrobenius groups of automorphismsgraded Lie rings

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graded Lie (super)algebras (17B70) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (2)

Supersolvable Frobenius groups with nilpotent centralizers ⋮ Double automorphisms of graded Lie algebras

Cites Work

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• \(\mathbb Z_{n}\)-graded Lie rings
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• On groups of automorphisms of Lie algebras
• Finite groups and the fixed points of coprime automorphisms
• Frobenius groups as groups of automorphisms
• Frobenius groups of automorphisms and their fixed points
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• LIE RINGS AND LIE GROUPS ADMITTING AN ALMOST REGULAR AUTOMORPHISM OF PRIME ORDER

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