On the Orbits of Solvable Linear Groups

Zoltan Halasi; Karoly Podoski

On the Orbits of Solvable Linear Groups

Group Theory 2007-07-20 v1

Authors: Zoltan Halasi , Karoly Podoski

Abstract

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 particular, this answers a question of I. M. Isaacs. We complete some results of S. Dolphi, A. Seress and T. R. Wolf.

Keywords

finite group theory

Cite

@article{arxiv.0707.2873,
  title  = {On the Orbits of Solvable Linear Groups},
  author = {Zoltan Halasi and Karoly Podoski},
  journal= {arXiv preprint arXiv:0707.2873},
  year   = {2007}
}

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