Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the exponent of tensor categories coming from finite groups   We describe the exponent of a group-theoretical fusion category $\mathcal C =
\mathcal C(G, \omega, F, \alpha)$ associated to a finite group $G$ in terms of
group cohomology. We show that the exponent of $\C$ divides both $e(\omega)
\exp G$ and $(\exp G)^2$, where $e(\omega)$ is the cohomological order of the
3-cocycle $\omega$. In particular $\exp \C$ divides $(\dim \C)^2$.

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ