On the Orbits of Solvable Linear Groups

Zoltan Halasi, Karoly Podoski

Let $G$ be a solvable linear group acting on the finite vectorpace $V$ and assume that $(|G|,|V|)=1$. In this paper we find $x,y\in V$ such that $C_G(x)\cap C_G(y)=1$. In particula…