End IntegralChar.
Section MoreIntegralChar.
Implicit Type gT : finGroupType.

(* This is Isaacs, Problem (2.16). *)
Lemma index_support_dvd_degree gT (G H : {group gT}) chi :
H \subset G -> chi \is a character -> chi \in 'CF(G, H) ->
(H :==: 1%g) || abelian G ->
(#|G : H| %| chi 1%g)%C.