Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permutation groups arising from pattern involvement   For an arbitrary finite permutation group $G$, subgroup of the symmetric
group $S_\ell$, we determine the permutations involving only members of $G$ as
$\ell$-patterns, i.e., avoiding all patterns in the set $S_\ell \setminus G$.
The set of all $n$-permutations with this property constitutes again a
permutation group. We consequently refine and strengthen the classification of
sets of permutations closed under pattern involvement and composition that is
due to Atkinson and Beals.

19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat