Fixed-point-free 2-finite automorphism groups.

DOI10.1007/s00013-011-0284-8zbMath1241.20036OpenAlexW2088782821MaRDI QIDQ641806

Theo Grundhöfer, Enrico Jabara

Publication date: 25 October 2011

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

Full work available at URL: http://hdl.handle.net/10278/24442

zbMATH Keywords

automorphism groupslocally finite groupsfixed-point-free automorphismsnearfieldssharply 2-transitive groups2-finite groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Automorphism groups of groups (20F28) Local properties of groups (20E25) Near-fields (12K05) Multiply transitive infinite groups (20B22)

Related Items (6)

\textit{KT}-fields and sharply triply transitive groups ⋮ Sharply 3-transitive Groups with Finite Element ⋮ On the Shunkov groups acting freely on Abelian groups. ⋮ On sharply 2-transitive groups with generalized finite elements ⋮ Local finiteness of periodic sharply triply transitive groups. ⋮ Groups of finite exponent acting regulary on an abelian group.

Cites Work

• Lokal endliche, scharf zweifach transitive Permutationsgruppen. (Locally finite sharply two-transitive permutation groups)
• Locally finite near fields
• On regular automorphisms of order \(3\) and Frobenius pairs
• Some infinite Frobenius groups
• On the structure of the noninvariant factor in some Frobenius groups
• Frobenius complements of exponent dividing 2 m · 9
• Groups Whose Elements Have Bounded Orders
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