Extensions of several coprime results to good action case

@article{Ercan2020ExtensionsOS,
  title={Extensions of several coprime results to good action case},
  author={G{\"u}lin Ercan and .Ismail cS. Gulouglu and Enrico Jabara},
  journal={Journal of Algebra and Its Applications},
  year={2020}
}
Let [Formula: see text] and [Formula: see text] be groups where [Formula: see text] acts on [Formula: see text] by automorphisms. We say “the action of[Formula: see text] on[Formula: see text] is good” if the equality [Formula: see text] holds for any subgroup [Formula: see text] of [Formula: see text] and for any [Formula: see text]-invariant subgroup [Formula: see text] of [Formula: see text]. It is straightforward that every coprime action is a good action. In this work, we extend some… 
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Good action of a nilpotent group with regular orbits

Abstract Suppose that A is a finite nilpotent group of odd order having a good action, in the sense of [1], on the group G of odd order. Under some additional assumptions we prove that the Fitting…

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