Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Erd{\H o}s--Ginzburg--Ziv constant of finite abelian groups of
  high rank   Let $G$ be a finite abelian group. The Erd{\H o}s--Ginzburg--Ziv constant
$\mathsf s (G)$ of $G$ is defined as the smallest integer $l \in \mathbb N$
such that every sequence \ $S$ \ over $G$ of length $|S| \ge l$ \ has a
zero-sum subsequence $T$ of length $|T| = \exp (G)$. If $G$ has rank at most
two, then the precise value of $\mathsf s (G)$ is known (for cyclic groups this
is the Theorem of Erd{\H o}s-Ginzburg-Ziv). Only very little is known for
groups of higher rank. In the present paper, we focus on groups of the form $G
= C_n^r$, with $n, r \in \N$ and $n \ge 2$, and we tackle the study of $\mathsf
s (G)$ with a new approach, combining the direct problem with the associated
inverse problem.

14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin