Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the diameter of Cayley graphs of classical groups with generating
  sets containing a transvection   A well-known conjecture of Babai states that if $G$ is any finite simple
group and $X$ is a generating set for $G$, then the diameter of the Cayley
graph $Cay(G,X)$ is bounded by $\log|G|^c$ for some universal constant $c$. In
this paper, we prove such a bound for $Cay(G,X)$ for $G=PSL(n,q),PSp(n,q)$ or
$PSU(n,q)$ where $q$ is odd, under the assumptions that $X$ contains a
transvection and $q\neq 9$ or $81$.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs