In this talk, we study the dual fine Selmer groups of Galois deformations satisfying the condition ``core rank one". Under the assumption of the existence of a nice Euler system for the Galois deformation, by using Euler systems, we construct a family {C_i}_i of ideals of the deformation ring which give ``lower bounds" of higher Fitting ideal of the Selmer group. Moreover, the ideals C_i determine the pseudo-isomorphism class of the Selmer group in the case of nearly ordinary Hida deformations of elliptic modular forms under assumptions of Iwasawa main conjecture and some additional hypothesis.