Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the automorphism group of the m-coloured random graph   Let $R_m$ be the (unique) universal homogeneous $m$-edge-coloured countable
complete graph ($m\ge2$), and $G_m$ its group of colour-preserving
automorphisms. The group $G_m$ was shown to be simple by John Truss. We examine
the automorphism group of $G_m$, and show that it is the group of permutations
of $R_m$ which induce permutations on the colours, and hence an extension of
$G_m$ by the symmetric group of degree $m$. We show further that the extension
splits if and only if $m$ is odd, and in the case where $m$ is even and not
divisible by~$8$ we find the smallest supplement for $G_m$ in its automorphism
group.
  (This unpublished paper from 2007 is placed here because of renewed interest
in the topic.)

35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con