On almost regular automorphisms of prime order

DOI10.1007/BF00971002zbMath0786.20025MaRDI QIDQ1204785

Natalia Yu. Makarenko

Publication date: 28 March 1993

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

fixed pointsautomorphismnilpotency class\(p\)-groupassociated Lie ringsperiodic nilpotent groupsubgroup of bounded index

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (6)

Finite \(2\)-groups admitting an automorphism of order \(4\) with few fixed points ⋮ On groups with a splitting automorphism of prime order ⋮ Counterexamples to a rank analog of the Shepherd-Leedham-Green-McKay theorem on finite \(p\)-groups of maximal nilpotency class. ⋮ On nilpotent groups having an almost regular automorphism of prime order ⋮ Finite 𝑝-groups with a Frobenius group of automorphisms whose kernel is a cyclic 𝑝-group ⋮ Almost regular automorphisms

Cites Work

• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• Automorphisms of Solvable Groups
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