End ModularGroupAction.
Section Sylow.
Variables (p : nat) (gT : finGroupType) (G : {group gT}).
Implicit Types P Q H K : {group gT}.

Lemma card_Syl P : p.-Sylow(G) P -> #|'Syl_p(G)| = #|G : 'N_G(P)|.
End Sylow.