Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introduction to Sporadic Groups for physicists   We describe the collection of finite simple groups, with a view on physical
applications. We recall first the prime cyclic groups $Z_p$, and the
alternating groups $Alt_{n>4}$. After a quick revision of finite fields
$\mathbb{F}_q$, $q = p^f$, with $p$ prime, we consider the 16 families of
finite simple groups of Lie type. There are also 26 \emph{extra} "sporadic"
groups, which gather in three interconnected "generations" (with 5+7+8 groups)
plus the Pariah groups (6). We point out a couple of physical applications,
including constructing the biggest sporadic group, the "Monster" group, with
close to $10^{54}$ elements from arguments of physics, and also the relation of
some Mathieu groups with compactification in string and M-theory.

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The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex