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arXiv · 2112.04407

Good action of a nilpotent group with regular orbits

Gülin Ercan·İsmail Ş. Güloğlu
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Abstract

Suppose that $A$ is a finite nilpotent group of odd order acting good in the sense of \cite{EGJ} on the group $G$ of odd order. Under some additional assumptions we prove that the Fitting height of $G$ is bounded above by the sum of the numbers of primes dividing $|A|$ and $|C_G(A)|$ counted with multiplicities.

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Gülin Ercan, İsmail Ş. Güloğlu. 2021-12-08. Good action of a nilpotent group with regular orbits. https://arxiv.org/abs/2112.04407

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