| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
[2] Univ Murcia, Dept Matemat, E-30100 Murcia - Spain
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 44, n. 5, p. 2264-2275, 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 00/07291-0 - Group rings and related topics |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |