论文标题
在急剧的2传输组的几何形状上
On the geometry of sharply 2-transitive groups
论文作者
论文摘要
我们表明，与某些非分数急剧2频组相关的几何形状不包含适当的投射平面。对于一个有限的摩尔利排名，我们对这种几何形状提高了已知排名的不平等，得出的结论是，莫利（Morley）等级6必须是$ k \ rtimes k^*$的形式，对于某些代数封闭的场$ k $。
We show that the geometry associated to certain non-split sharply 2-transitive groups does not contain a proper projective plane. For a sharply 2-transitive group of finite Morley rank we improve known rank inequalities for this geometry and conclude that a sharply 2-transitive group of Morley rank 6 must be of the form $K\rtimes K^*$ for some algebraically closed field $K$.
