Finite \(2\)-groups admitting an automorphism of order \(4\) with few fixed points

DOI10.1007/BF02261746zbMath0832.20035OpenAlexW2162209589MaRDI QIDQ1346905

Natalia Yu. Makarenko

Publication date: 20 April 1995

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02261746

zbMATH Keywords

soluble groupsfinite \(p\)-groupsregular automorphismsnilpotent groupsgroup ringsfixed-point-free automorphismsderived length2-groupsautomorphisms of order \(p^ k\)nilpotent derived subgroups

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)

Related Items (5)

Unnamed Item ⋮ Locally finite groups containing a \(2\)-element with Chernikov centralizer. ⋮ Large characteristic subgroups satisfying multilinear commutator identities. ⋮ ON THE CENTRALIZER OF AN ELEMENT OF ORDER FOUR IN A LOCALLY FINITE GROUP ⋮ Almost regular automorphisms

Cites Work

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• Nilpotent groups and their automorphisms
• Some sufficient conditions for a group to be nilpotent
• Groups with regular automorphisms of order four
• Periodic groups in which the centralizer of an involution has bounded order
• On almost regular automorphisms of prime order
• On almost fixed point free automorphisms
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• Automorphisms of Solvable Groups

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