It is well known that, for any finitely generated torsion module M over the
Iwasawa algebra Z_p [[{\Gamma} ]], where {\Gamma} is isomorphic to Z_p, there
exists a continuous p-adic character {\rho} of {\Gamma} such that, for every
open subgroup U of {\Gamma}, the group of U-coinvariants M({\rho})_U is finite;
here M( {\rho}) denotes the twist of M by {\rho}. This twisting lemma was
already applied to study various arithmetic properties of Selmer groups and
Galois cohomologies over a cyclotomic tower by Greenberg and Perrin-Riou. We
prove a non commutative generalization of this twisting lemma replacing torsion
modules over Z_p [[ {\Gamma} ]] by certain torsion modules over Z_p [[G]] with
more general p-adic Lie group G.Comment: submitte
