Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the base size of the symmetric and the alternating group acting on
  partitions   Given three positive integers $n,a,b$ with $n=ab$, we determine the base size
of the symmetric group and of the alternating group of degree $n$ in their
action on the set of partitions into $b$ parts having cardinality $a$.

4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an