End SplittingField.
Section Abelian.
Variables (gT : finGroupType) (G : {group gT}).

(* Specifications: *)
Lemma mx_faithful_irr_center_cyclic n (rG : mx_representation F G n) :
mx_faithful rG -> mx_irreducible rG -> cyclic 'Z(G).
Lemma mx_faithful_irr_abelian_cyclic n (rG : mx_representation F G n) :
mx_faithful rG -> mx_irreducible rG -> abelian G -> cyclic G.