$B_{h}[g]$ modular sets from $B_{h}$ modular sets
Number Theory
2014-12-22 v2
Abstract
A set of positive integers is called a set if there are at most different sums of elements from with the same result. This definition has a generalization to abelian groups and the main problem related to this kind of sets, is to find maximal sets i.e. those with larger cardinality. We construct modular sets from modular sets using homomorphisms and analyze the constructions of sets by Bose and Chowla, Ruzsa, and G\'omez and Trujillo look at for the suitable homomorphism that allows us to preserve the cardinal of this types of sets.
Cite
@article{arxiv.1411.5741,
title = {$B_{h}[g]$ modular sets from $B_{h}$ modular sets},
author = {Nidia Y. Caicedo and Carlos A. Gómez and Jhonny C. Gómez and Carlos A. Trujillo},
journal= {arXiv preprint arXiv:1411.5741},
year = {2014}
}