On the relative Davenport constant
type: Item
instance of: scholarly article
title: On the relative Davenport constant
zbMATH Open document ID: 0945.20012
author: Mariusz Skałba
published in: European Journal of Combinatorics
publication date: 2000-07-05T00:00:00Z
review text: Let \(G\) be a finite Abelian group and let \(a\in G\). A sequence \(\sigma\) of elements of \(G\) is called irreducible if every proper subsequence of \(\sigma\) has a non-zero sum. The relative Davenport constant \(D_a(G)\) is defined as the largest integer \(k\) such that \(a\) is a sum of some irreducible sequence of length \(k\). The author computes the relative Davenport constant if \(G\) is the direct sum of two cyclic groups.
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 20K01
zbMATH DE Number: 1212322
zbMATH Keywords: subsequence sums
zbMATH Keywords: finite Abelian groups
zbMATH Keywords: irreducible sequences
zbMATH Keywords: relative Davenport constant
zbMATH Keywords: direct sums of cyclic groups
reviewed by: Yahya Ould Hamidoune
MaRDI profile type: Publication
full work available at URL: eujc.1997.0172
OpenAlex ID: W2036408732
DOI: 10.1006/EUJC.1997.0172
description: scientific article; zbMATH DE number 1212322