On almost regular automorphisms of finite \(p\)-groups

DOI10.1006/AIMA.1999.1911zbMath0968.20011OpenAlexW2082688995MaRDI QIDQ1580859

Andrei Jaikin-Zapirain

Publication date: 13 February 2001

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1999.1911

zbMATH Keywords

fixed pointsfinite \(p\)-groupsderived lengthsLie rings\(p\)-adic integersnilpotency classesalmost regular automorphismspowerful \(p\)-groups\(p\)-automorphisms

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (8)

Almost solubility of Lie algebras with almost regular automorphisms ⋮ Counterexamples to a rank analog of the Shepherd-Leedham-Green-McKay theorem on finite \(p\)-groups of maximal nilpotency class. ⋮ Lie rings with almost regular automorphisms. ⋮ Finite Groups and Lie Rings with an Automorphism of Order 2ⁿ ⋮ On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order. ⋮ Finite 𝑝-groups with a Frobenius group of automorphisms whose kernel is a cyclic 𝑝-group ⋮ Unnamed Item ⋮ Finite groups of bounded rank with an almost regular automorphism

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