K. Podoski

activity

20072023

most citedEvery coprime linear group admits a base of size two

18 citations · 19 across the 4 of their papers we have counts for

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Showing 2007 · math.GRShow all

2 papers · 2 filters

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…