Inverse zero-sum problems in finite Abelian p-groups

Benjamin Girard. "Inverse zero-sum problems in finite Abelian p-groups." Colloquium Mathematicae 120.1 (2010): 7-21. <http://eudml.org/doc/286600>.

@article{BenjaminGirard2010,
abstract = {We study the minimal number of elements of maximal order occurring in a zero-sumfree sequence over a finite Abelian p-group. For this purpose, and in the general context of finite Abelian groups, we introduce a new number, for which lower and upper bounds are proved in the case of finite Abelian p-groups. Among other consequences, our method implies that, if we denote by exp(G) the exponent of the finite Abelian p-group G considered, every zero-sumfree sequence S with maximal possible length over G contains at least exp(G) - 1 elements of order exp(G), which improves a previous result of W. Gao and A. Geroldinger.},
author = {Benjamin Girard},
journal = {Colloquium Mathematicae},
keywords = {zero-sum; zero-sumfree sequence; abelian -group},
language = {eng},
number = {1},
pages = {7-21},
title = {Inverse zero-sum problems in finite Abelian p-groups},
url = {http://eudml.org/doc/286600},
volume = {120},
year = {2010},
}

TY - JOUR
AU - Benjamin Girard
TI - Inverse zero-sum problems in finite Abelian p-groups
JO - Colloquium Mathematicae
PY - 2010
VL - 120
IS - 1
SP - 7
EP - 21
AB - We study the minimal number of elements of maximal order occurring in a zero-sumfree sequence over a finite Abelian p-group. For this purpose, and in the general context of finite Abelian groups, we introduce a new number, for which lower and upper bounds are proved in the case of finite Abelian p-groups. Among other consequences, our method implies that, if we denote by exp(G) the exponent of the finite Abelian p-group G considered, every zero-sumfree sequence S with maximal possible length over G contains at least exp(G) - 1 elements of order exp(G), which improves a previous result of W. Gao and A. Geroldinger.
LA - eng
KW - zero-sum; zero-sumfree sequence; abelian -group
UR - http://eudml.org/doc/286600
ER -