Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Factorisations of Matrices and Abelian Groups   We establish correspondances between factorisations of finite abelian groups
(direct factors, unitary factors, non isomorphic subgroup classes) and
factorisations of integer matrices. We then study counting functions associated
to these factorisations and find average orders.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ