On the unit group of Z-orders in finite dimensional algebras
Groups and noncommutative algebra: interactions and applications
Units of group rings, semigroup rings and orders in finite dimensional algebras
| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Universidade de Campinas. Faculdade de Ciências Aplicadas - Brasil
[2] Universidade Estadual de Campinas. Departamento deMatemática - Brasil
[3] Universidade Federal do Paraná. Departamento deMatemática - Brasil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | TEMA (São Carlos); v. 17, n. 3, p. 331-340, 2016-12-00. |
| Abstract | |
ABSTRACT. The genus graphs have been studied by many authors, but just a few results concerning in special cases: Planar, Toroidal, Complete, Bipartite and Cartesian Product of Bipartite. We present here a general lower bound for the genus of a abelian Cayley graph and construct a family of circulant graphs which reach this bound. (AU) | |
| FAPESP's process: | 13/25977-7 - Security and reliability of Information: theory and practice |
| Grantee: | Marcelo Firer |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 11/01096-6 - Discrete mathematics: lattices, codes and cryptography |
| Grantee: | João Eloir Strapasson |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 07/00514-3 - Geometry and codes theory |
| Grantee: | João Eloir Strapasson |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |