Inverse zero-sum problems for certain groups of rank three

Abstract

The inverse problem associated to the Erdős-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.

arXiv comment16 pages

References in corpus (5)

• On Kemnitz' Conjecture Concerning Lattice Points in the Plane
• Direct zero-sum problems for certain groups of rank three
• Long $n$-zero-free sequences in finite cyclic groups
• On the Erd{ő}s-Ginzburg-Ziv constant of groups of the form $C_2^r\oplus C_n$
• On Erdős-Ginzburg-Ziv inverse theorems for Dihedral and Dicyclic groups

Cited by in corpus (4)

• Direct zero-sum problems for certain groups of rank three
• On the lower bounds of Davenport constant
• On minimal product-one sequences of maximal length over Dihedral and Dicyclic groups
• On an inverse problem of Erd\H os, Kleitman, and Lemke