Construction of Bh[g] sets in product of groups
A subset A of an abelian group G is a Bh[g] set on G if the elements of G can be written in at most g ways as sum of h elements of A. Given any field F, this work presents constructions of Bh[g] sets on the abelian groups (Fh, +) (Zd, +), and (Zm1 × … × Zmd, +), for d ≥ 2, h ≥ 2, and g ≥ 1....
- Autores:
-
Ruíz, Diego
Trujillo, Carlos
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66445
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66445
http://bdigital.unal.edu.co/67473/
- Palabra clave:
- 51 Matemáticas / Mathematics
Sidon sets
Bh[g] sets
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | A subset A of an abelian group G is a Bh[g] set on G if the elements of G can be written in at most g ways as sum of h elements of A. Given any field F, this work presents constructions of Bh[g] sets on the abelian groups (Fh, +) (Zd, +), and (Zm1 × … × Zmd, +), for d ≥ 2, h ≥ 2, and g ≥ 1. |
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