Finite groups and the fixed points of coprime automorphisms

DOI10.1090/S0002-9939-01-06125-1zbMath0990.20015OpenAlexW1552178991MaRDI QIDQ2750840

P. V. Shumyatskij

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06125-1

zbMATH Keywords

automorphismscentralizersassociated Lie rings

Mathematics Subject Classification ID

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

Related Items (14)

Extra-special p-groups as groups of automorphisms ⋮ On groups satisfying a positive law in fixed points. ⋮ Nilpotent residual of fixed points ⋮ Coprime actions with \(p\)-nilpotent centralizers ⋮ On groups and Lie algebras admitting a Frobenius group of automorphisms. ⋮ Nilpotency of finite groups with Frobenius groups of automorphisms. ⋮ Double automorphisms of graded Lie algebras ⋮ Fixed Points in Finite Soluble Groups^# ⋮ On groups with automorphisms whose fixed points are Engel ⋮ Centralizers of coprime automorphisms of finite groups. ⋮ Profinite groups and the fixed points of coprime automorphisms. ⋮ FITTING SUBGROUP AND NILPOTENT RESIDUAL OF FIXED POINTS ⋮ Positive laws in fixed points ⋮ Finite groups and their coprime automorphisms

Cites Work

• On periodic soluble groups and the fixed point groups of operators
• On Solvable Signalizer Functors in Finite Groups
• On finite soluble groups and the fixed-point groups of automorphisms
• On finite groups admitting automorphisms with nilpotent fixed-point group
• Derived subgroups of fixed points.
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