Extremal product-one free sequences in $C_q \rtimes_s C_m$
Number Theory
2017-02-01 v1
Abstract
Let be a finite group, written multiplicatively. The Davenport constant of is the smallest positive integer such that every sequence of with elements has a non-empty subsequence with product . Let be the cyclic group of order . Bass (2007) showed that the Davenport constant of the metacyclic group , where is a prime number and , is . In this paper, we explicit the form of all sequences of , with elements, that are free of product- subsequences.
Keywords
Cite
@article{arxiv.1610.09870,
title = {Extremal product-one free sequences in $C_q \rtimes_s C_m$},
author = {Fabio Enrique Brochero Martínez and Sávio Ribas},
journal= {arXiv preprint arXiv:1610.09870},
year = {2017}
}