On almost regular automorphisms of prime order
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Publication:1204785
DOI10.1007/BF00971002zbMath0786.20025MaRDI QIDQ1204785
Publication date: 28 March 1993
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
fixed pointsautomorphismnilpotency class\(p\)-groupassociated Lie ringsperiodic nilpotent groupsubgroup of bounded index
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
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