End SomeHall.
Section Nilpotent.
Variable gT : finGroupType.
Implicit Types (G H K P L : {group gT}) (p q : nat).

Lemma nil_class_pgroup (gT : finGroupType) (p : nat) (P : {group gT}) :
p.-group P -> nil_class P <= maxn 1 (logn p #|P|).-1.