Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure of large incomplete sets in abelian groups   Let $G$ be a finite abelian group and $A$ be a subset of $G$. We say that $A$
is complete if every element of $G$ can be represented as a sum of different
elements of $A$. In this paper, we study the following question: {\it What is
the structure of a large incomplete set ?} The typical answer is that such a
set is essentially contained in a maximal subgroup. As a by-product, we obtain
a new proof for several earlier results.

31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph