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 results due to Ward, Gross, Shumyatsky, Jabara and Meng and Guo under coprime action to good action.
Extensions of several coprime results to good action case
