Groups of finite exponent acting regulary on an abelian group.

DOI10.1007/S00013-016-0870-XzbMath1342.20043OpenAlexW2299812914MaRDI QIDQ258044

Egle Bettio

Publication date: 17 March 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0870-x

zbMATH Keywords

Frobenius groupsperiodic groupsnear-fieldsregular actionsfixed-point-free automorphismsgroups of finite exponentsharply \(2\)-transitive groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Near-fields (12K05) Multiply transitive infinite groups (20B22)

Cites Work

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• Periodic groups acting freely on Abelian groups.
• Fixed-point-free 2-finite automorphism groups.
• Free actions of groups of exponent 5.
• On finite near-fields
• A sharply 2-transitive group without a non-trivial abelian normal subgroup
• Frobenius complements of exponent dividing 2 m · 9
• Fixed Point Free Actions of Groups of Exponent 5

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