Central Units in ℤCp, q
| Autor: | Raul Antonio Ferraz, Juan Jacobo Simón |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Algebra and Number Theory Group (mathematics) 010102 general mathematics Prime number Cyclic group 010103 numerical & computational mathematics 01 natural sciences REPRESENTAÇÕES DE GRUPOS FINITOS Independent set Product (mathematics) Order (group theory) 0101 mathematics Direct product Group ring Mathematics |
| Zdroj: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| Popis: | Let Cp, q be the semi-direct product of a cyclic group of order q by a cyclic group of order p, and ℤCp, q the integral group ring of Cp, q. In this article, firstly, we describe the group of normalized central units of ℤCp, 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. |
| Databáze: | OpenAIRE |
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