Groups and noncommutative algebra: interactions and applications
Groupoid graded rings and groupoid rings: their categories of modules and units
On the unit group of Z-orders in finite dimensional algebras
| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo - Brazil
[2] Univ Murcia, Dept Matemat, E-30100 Murcia - Spain
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 36, n. 10, p. 3708-3722, 2008. |
| Web of Science Citations: | 8 |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 00/07291-0 - Group rings and related topics |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |