On the structure of sequences with forbidden zero-sum subsequences

W. D. Gao, and R. Thangadurai. "On the structure of sequences with forbidden zero-sum subsequences." Colloquium Mathematicae 98.2 (2003): 213-222. <http://eudml.org/doc/284960>.

@article{W2003,
abstract = {We study the structure of longest sequences in $ℤₙ^\{d\}$ which have no zero-sum subsequence of length n (or less). We prove, among other results, that for $n = 2^\{a\}$ and d arbitrary, or $n = 3^\{a\}$ and d = 3, every sequence of c(n,d)(n-1) elements in $ℤₙ^\{d\}$ which has no zero-sum subsequence of length n consists of c(n,d) distinct elements each appearing n-1 times, where $c(2^\{a\},d) = 2^\{d\}$ and $c(3^\{a\},3) = 9$.},
author = {W. D. Gao, R. Thangadurai},
journal = {Colloquium Mathematicae},
keywords = {structure of sequences; zero-sum problems; finite abelian groups},
language = {eng},
number = {2},
pages = {213-222},
title = {On the structure of sequences with forbidden zero-sum subsequences},
url = {http://eudml.org/doc/284960},
volume = {98},
year = {2003},
}

TY - JOUR
AU - W. D. Gao
AU - R. Thangadurai
TI - On the structure of sequences with forbidden zero-sum subsequences
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 2
SP - 213
EP - 222
AB - We study the structure of longest sequences in $ℤₙ^{d}$ which have no zero-sum subsequence of length n (or less). We prove, among other results, that for $n = 2^{a}$ and d arbitrary, or $n = 3^{a}$ and d = 3, every sequence of c(n,d)(n-1) elements in $ℤₙ^{d}$ which has no zero-sum subsequence of length n consists of c(n,d) distinct elements each appearing n-1 times, where $c(2^{a},d) = 2^{d}$ and $c(3^{a},3) = 9$.
LA - eng
KW - structure of sequences; zero-sum problems; finite abelian groups
UR - http://eudml.org/doc/284960
ER -