Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalizations of Lagrange and Sylow Theorems for Groupoids   We show a classification method for finite groupoids and discuss the
cardinality of cosets and its relation with the index. We prove a
generalization of the Lagrange's Theorem and establish a Sylow theory for
groupoids.

3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex