K. Podoski

most citedOn the Orbits of Solvable Linear Groups

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math.GR2007★ 1 cited

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…

math.GR2007

On finite groups whose derived subgroup has bounded rank

Karoly Podoski, Balazs Szegedy

Let $G$ be a finite group with derived subgroup of rank $r$ . We prove that $\gzz\leq |G'|^{2r}$. Motivated by the results of I. M. Isaacs in \cite{isa} we show that if $G$ is capab…