Small Sumsets in Finite p-groups

In this paper we present an explicit formula for the functionμG(r, s) = min |A·B|, where A and B are subsets of a finite p-group G with|A| = r, |B| = s and 1 r, s |G|.  

Autores:
Tipo de recurso:
Fecha de publicación:
2010
Institución:
Universidad Industrial de Santander
Repositorio:
Repositorio UIS
Idioma:
spa
OAI Identifier:
oai:noesis.uis.edu.co:20.500.14071/7286
Acceso en línea:
https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2061
https://noesis.uis.edu.co/handle/20.500.14071/7286
Palabra clave:
Sumset
p-group
additive number theory
Conjunto suma
p-grupo
teoría aditiva de números
Rights
openAccess
License
Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
Description
Summary:In this paper we present an explicit formula for the functionμG(r, s) = min |A·B|, where A and B are subsets of a finite p-group G with|A| = r, |B| = s and 1 r, s |G|.