Gruenberg çözücüleri arasındaki zincir dönüşümleri

Let G be a finite group. For a given presentation of G = , Gruenberg gives a construction of a projective resolution for Z as a ZG-module. This resolution, which is called Gruenberg resolution, only depends on the ideals I_F = ker{ZF→Z} and J = ker{ZF→ZG}. We write standard resolution as a Gruenberg resolution by following the construction of Gruenberg. We get an explicit chain map formula between Gruenberg resolution for standard presentation and the Gruenberg resolution for the usual presentation of a cyclic group. Then we write an explicit chain map formula between any two Gruenberg resolutions. We also give some calculations with Gruenberg resolution.