CENTRAL UNITS IN ZCp,q

Autor(es)

Ferraz, Raul Antonio ^[1] ; Jacobo Simon, Juan ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil

^[2] Univ Murcia, Dept Matemat, E-30100 Murcia - Spain

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 44, n. 5, p. 2264-2275, 2016.
• Citações Web of Science: 0

Resumo

Let C-p,C-q be the semi-direct product of a cyclic group of order q by a cyclic group of order p, and ZC(p,q) the integral group ring of C-p,C-q. In this article, firstly, we describe the group of normalized central units of ZC(p,q) as a direct product of two subgroups that we call units of first kind and of second kind. For a class of prime numbers that we call good primes, we construct a multiplicatively independent set which generates the group of units of first kind. Finally, we construct a set of multiplicatively independent units which generates the units of second kind for a larger class of primes. (AU)

• Processo FAPESP: 00/07291-0 - Anéis de grupo e tópicos relacionados
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 02/02933-0 - Alguns tópicos em anéis de grupo
• Beneficiário: Raul Antonio Ferraz
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado