On Davenport constant

Benjamin Girard (1)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

We prove that for every fixed integer r => 1 the Davenport constant D(C^r_n) is asymptotic to rn when n tends to infinity. An extension of this theorem to a wider framework is also provided.

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

Benjamin Girard. On Davenport constant. 2017. ⟨hal-01592317v2⟩