Large zero-free subsets of Z/pZ

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A finite subset $A$ of an abelian group $G$ is said to be zero-free if the identity element of $G$ cannot be written as a sum of distinct elements from $A$. In this article we study the structure of zero-free subsets of $Z/pZ$ the cardinality of which is close to largest possible. In particular, we determine the cardinality of the largest zero-free subset of $Z/pZ$, when $p$ is a sufficiently large prime.
17 pages

Keywords

Number Theory, Combinatorics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/217242

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.3713
 http://arxiv.org/abs/0901.3713

Collections

arXiv