[en] In this work the equations for the transformation of the wave functions of states from the usual nuclear shell model(USM) to the translationally invariant shell model(TISM) have been adopted on the nuclei with mass number A=7 in the positive parity states (N=4). Detailed calculations of the P-cluster coefficients, which are nesseccary for the trransformation, have been carried out. These coefficients transform the wave functions of states of nuccleons in the P-shell to the wave functions of states which describe the relative motion and the motion of the center of mass of the P-shell nucleons. The calculation of the fractional parentage coefficients of separating one neuleon from three nucleons and from four nucleons in the (TISM) with oscillation quanta N=4 have been calculated. Talmi coefficients needed for these cases (N=4) have been calculated too. The results are given in tables.(7 tabs., 4 figs., 46 refs.)