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4.12 (1973)

Solved

Let $G$ be a finite group and $A$ a group of automorphisms of $G$ stabilizing a series of subgroups beginning with $G$ and ending with its Frattini subgroup. Then is $A$ nilpotent?

Contributor: Ya. G. Berkovich

Progress

Yes, it is (P. Schmid, Math. Ann., 202 (1973), 57–69).

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