Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced fusion systems over $p$-groups with abelian subgroup of index
  $p$: II   Let $p$ be an odd prime, and let $S$ be a $p$-group with a unique elementary
abelian subgroup $A$ of index $p$. We classify the simple fusion systems over
all such groups $S$ in which $A$ is essential. The resulting list, which
depends on the classification of finite simple groups, includes a large variety
of new, exotic simple fusion systems.

23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th