CENTRAL UNITS IN METACYCLIC INTEGRAL GROUP RINGS

In this article, we give a method to compute the rank of the subgroup of central units of ZG, for a finite metacyclic group, G, by means of Q-classes and R-classes. Then we construct a multiplicatively independent set u subset of Z(U(ZC(p,q))) and by applying our results, we prove that u generates a subgroup of finite index.FAPESP[02/02933-0]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP[00/07291-0]Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)CNPq[300243/79-0]CAPES of BrazilCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundacion Seneca of MurciaFundacion Seneca of Murci