Inverse zero-sum problems for certain groups of rank three

Benjamin Girard (1) , Wolfgang Schmid (2)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
2 LAGA - Laboratoire Analyse, Géométrie et Applications

The inverse problem associated to the Erd\H{o}s-Ginzburg-Ziv constant and the $\eta$-constant is solved for finite abelian groups of the form $C_2 \oplus C_2 \oplus C_{2n}$ where $n \ge 2$ is an integer.

Mots clés: inductive method; finite abelian group; zero-sum sequence; inverse problem; Erdős-Ginzburg-Ziv constant

Domaines: Théorie des nombres [math.NT]; Combinatoire [math.CO]; Théorie des groupes [math.GR]

Benjamin Girard, Wolfgang Schmid. Inverse zero-sum problems for certain groups of rank three. Acta Mathematica Hungarica, 2020, 160 (1), pp.229-247. ⟨10.1007/s10474-019-00983-w⟩. ⟨hal-01869161v2⟩