Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse zero-sum problems in finite Abelian p-groups   In this paper, we study the minimal number of elements of maximal order
within a zero-sumfree sequence in a finite Abelian p-group. For this purpose,
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, the method that we use here enables us to show that,
if we denote by exp(G) the exponent of the finite Abelian p-group G which is
considered, then a zero-sumfree sequence S with maximal possible length in G
must contain at least exp(G)-1 elements of maximal order, which improves a
previous result of W. Gao and A. Geroldinger.

26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg