Abstract
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 language | German |
|---|---|
| Pages (from-to) | 182-193 |
| Number of pages | 12 |
| Journal | Journal of Geometry |
| Volume | 61 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 1998 |