proposition: Lemma pseriesJ pis gT (G : {group gT}) x : pseries pis (G :^ x) = pseries pis G :^ x.
proof: Proof. rewrite -{1}(setIid G) -morphim_conj -(injmF _ (injm_conj G x)) //=. by rewrite morphim_conj (setIidPr (pseries_sub _ _)). Qed.
imports: mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq div) mathcomp(fintype bigop finset prime fingroup morphism) mathcomp(gfunctor automorphism quotient action gproduct) mathcomp(cyclic)