Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regular orbits of symmetric and alternating groups   Given a finite group $G$ and a faithful irreducible $FG$-module $V$ where $F$
has prime order, does $G$ have a regular orbit on $V$? This problem is
equivalent to determining which primitive permutation groups of affine type
have a base of size 2. In this paper, we classify the pairs $(G,V)$ for which
$G$ has a regular orbit on $V$ where $G$ is a covering group of a symmetric or
alternating group and $V$ is a faithful irreducible $FG$-module such that the
order of $F$ is prime and divides the order of $G$.

5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: stat
11
The categories of this paper are: hep-lat