On a class of sharply 3-transitive groups

DOI10.1007/BF02950747zbMath0749.12008MaRDI QIDQ1187127

S. Singh

Publication date: 28 June 1992

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Dickson nearfields\(KT\)-nearfieldinfinite sharply 3-transitive permutation group

Mathematics Subject Classification ID

Near-fields (12K05) Multiply transitive infinite groups (20B22)

Related Items (5)

Benz planes of Dembowski type and groups of tangential projectivities ⋮ Homogeneous multiplications ⋮ A class of canonical sharply 3-transitive groups ⋮ KT-nearfields of rank 2 ⋮ A class of KT-nearfields closed with respect to planarity whose theory is not closed with respect to planarity

Cites Work

• Eine Bemerkung über die Gruppen PGL(2,F). (A remark on the groups PGL(2,F))
• A structure theorem for KT-nearfields
• Sharply 3-transitive groups of characteristic \(\equiv 1 \mod 3\)
• A class of canonical sharply 3-transitive groups
• Über die Eindeutigkeit einer Einbettung einer Klasse von scharf zweifach transitiven Permutationsgruppen in scharf dreifach transitive Permutationsgruppen. (On the uniqueness of embedding a class of sharply two-transitive permutation groups in sharply three-transitive permutation groups)
• Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen
• Über die Funktionalgleichung \(f(1+x)+ f(1+f(x)) = 1\). (On the functional equation \(f(1+x)+ f(1+f(x)) = 1\))
• Sharp triply transitive permutation groups
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