Section ExponentAbelem.
Variable gT : finGroupType.
Implicit Types (p n : nat) (pi : nat_pred) (x : gT) (A B C : {set gT}).
Implicit Types E G H K P X Y : {group gT}.
Arguments exponentP {A n}.
Arguments nElemP {n G E}.

Lemma pmaxElem_LdivP p G E :
prime p -> reflect ('Ldiv_p('C_G(E)) = E) (E \in 'E*_p(G)).