Über die normalteiler scharf zweifach und scharf dreifach transitiver permutationsgruppen

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A sharply 2-transitive (3-transitive) group T can be described by means of a neardomain F (a KT-field(F,ε)). We show, that T has a least nontrivial normal subgroup Ā (S(F,ε)), if F is a nearfield or if Char F ≠ 2. In this case the nontrivial normal subgroups of T correspond bijectively with all normal subgroups of F* (the multiplicative group of F) containing a set D (D(Q)). If F is a nearfield or if F has a suitable central element, then the group S(F,ε) is simple.

Original languageGerman
Pages (from-to)182-193
Number of pages12
JournalJournal of Geometry
Issue number1-2
StatePublished - 1998

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