Positive laws in fixed points of automorphisms of finite groups.

DOI10.1016/j.jpaa.2011.02.018zbMath1235.20024OpenAlexW2051238533MaRDI QIDQ640911

P. V. Shumyatskij

Publication date: 21 October 2011

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.2011.02.018

zbMATH Keywords

exponentsLie ringsfixed-point-free automorphismsFrobenius groups of automorphismsnilpotency classespositive lawssoluble finite groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30) Quasivarieties and varieties of groups (20E10) Associated Lie structures for groups (20F40)

Related Items (7)

Rank and order of a finite group admitting a Frobenius group of automorphisms. ⋮ Lie algebras admitting a metacyclic Frobenius group of automorphisms ⋮ Lie algebras with Frobenius dihedral groups of automorphisms ⋮ Fitting height of a finite group with a Frobenius group of automorphisms. ⋮ On groups and Lie algebras admitting a Frobenius group of automorphisms. ⋮ Finite groups and Lie rings with a metacyclic Frobenius group of automorphisms. ⋮ Rank and order of a finite group admitting a Frobenius-like group of automorphisms.

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