The problem of the removal of the degeneracy of the patterns of convective motion in a spherically symmetric fluid shell by the effects of rotation is considered. It is shown that the axisymmetric solution is preferred in sufficiently thick shells where the minimum Rayleigh number corresponds to degreel= 1 of the spherical harmonics. In all cases withl> 1 the solution described by sectional spherical harmonicsYll(,) is preferred.