A new exponential upper bound for the Erd\H{o}s-Ginzburg-Ziv constant
Number Theory
2017-12-04 v1 Combinatorics
Abstract
Naslund used Tao's slice rank bounding method to give new exponential upper bounds for the Erd\H{o}s--Ginzburg-Ziv constant of finite Abelian groups of high rank. In our short manuscript we improve slightly Naslund's upper bounds. We extend Naslund's results and prove new exponential upper bounds for the Erd\H{o}s--Ginzburg-Ziv constant of arbitrary finite Abelian groups. Our main results depend on a conjecture about Property D.
Keywords
Cite
@article{arxiv.1712.00228,
title = {A new exponential upper bound for the Erd\H{o}s-Ginzburg-Ziv constant},
author = {Gábor Hegedüs},
journal= {arXiv preprint arXiv:1712.00228},
year = {2017}
}