B_h[g] modular sets from B_h modular sets

2014/11/21 by Nidia Y. Caicedo, Caicedo, Nidia Y., Carlos A. Gómez +5
Economics, Econometrics and Finance · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Italy: Economic History and Contemporary Issues #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1411.5741

openalex publication_date 2014/11/21 · arxiv created 2014/12/18 · arxiv updated 2014/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A set of positive integers A is called a B_h[g] set if there are at most g different sums of h elements from A 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 B_h[g] maximal sets i.e. those with larger cardinality. We construct B_h[g] modular sets from B_h modular sets using homomorphisms and analyze the constructions of B_h sets by Bose and Chowla, Ruzsa, and Gómez and Trujillo look at for the suitable homomorphism that allows us to preserve the cardinal of this types of sets.

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