Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the diameters of McKay graphs for finite simple groups   Let $G$ be a finite group, and $\alpha$ a nontrivial character of $G$. The
McKay graph ${\mathcal M}(G,\alpha)$ has the irreducible characters of $G$ as
vertices, with an edge from $\chi_1$ to $\chi_2$ if $\chi_2$ is a constituent
of $\alpha\chi_1$. We study the diameters of McKay graphs for simple groups
$G$. For $G$ a group of Lie type, we show that for any $\alpha$, the diameter
is bounded by a quadratic function of the rank, and obtain much stronger bounds
for $G={\rm PSL}_n(q)$ or ${\rm PSU}_n(q)$. We also bound the diameter for
symmetric and alternating groups.

14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph