An algorithm for computing cocyclic matrices developed over some semidirect products

Abstract. An algorithm for calculating a set of generators of represen-tative 2-cocycles on semidirect product of finite abelian groups is con-structed, in light of the theory over cocyclic matrices developed by Ho-radam and de Launey in [7, 8]. The method involves some homological perturbation techniques [3, 1], in the homological correspondent to the work which Grabmeier and Lambe described in [12] from the viewpoint of cohomology. Examples of explicit computations over all dihedral groups D4t are given, with aid of Mathematica.