Disentangling mappings defined on ICIS

[EN] We study germs of hypersurfaces (Y,0)subset of(Cn+1,0) that can be described as the image of A-finite mappings f:(X,S)->(Cn+1,0)defined on anicis(X,S)of dimensionn. We extend the definition of the Jacobian module given by Fern & aacute;ndez de Bobadilla, Nu & ntilde;o-Ballesteros and Pe & ntilde;afort-Sanchis when X=C-n, which controls the image Milnor number mu(I)(X,f). We apply these results to prove the case n=2of the generalised Mond conjecture, which states that mu(I)(X,f) >= codim(Ae)(X,f), with equality if(Y,0) is weighted homogeneous.