2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134687Let $G$ 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 particular, this answers a question of I. M. Isaacs. We complete some results of S. Dolphi, A. Seress and T. R. Wolf.Group Theory20B05On the Orbits of Solvable Linear Groupstext