On the Orbits of Solvable Linear Groups

Zoltan Halasi; Karoly Podoski

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arXiv · 0707.2873

On the Orbits of Solvable Linear Groups

Zoltan Halasi·Karoly Podoski

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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.

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BibTeX RIS

Zoltan Halasi, Karoly Podoski. 2007-07-19. On the Orbits of Solvable Linear Groups. https://arxiv.org/abs/0707.2873

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