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Inverse zero-sum problems in finite Abelian p-groups

100%

Girard B.

Colloquium Mathematicum

2010

tom 120

nr 1

7-21

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.

Inverse zero-sum problems and algebraic invariants

100%

Girard B.

Acta Arithmetica

2008

tom 135

nr 3

231-246

Ograniczanie wyników

1 Acta Arithmetica

1 Colloquium Mathematicum

2 Girard B.

1 2010

1 2008

Wyniki wyszukiwania

Inverse zero-sum problems in finite Abelian p-groups

Inverse zero-sum problems and algebraic invariants