Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalization of Sims conjecture for finite primitive groups and two
  point stabilizers in primitive groups   In this paper we propose a refinement of Sims conjecture concerning the
cardinality of the point stabilizers in finite primitive groups and we make
some progress towards this refinement.
  In this process, when dealing with primitive groups of diagonal type, we
construct a finite primitive group $G$ on $\Omega$ and two distinct points
$\alpha,\beta\in \Omega$ with $G_{\alpha\beta}\unlhd G_\alpha$ and
$G_{\alpha\beta}\ne 1$, where $G_{\alpha}$ is the stabilizer of $\alpha$ in $G$
and $G_{\alpha\beta}$ is the stabilizer of $\alpha$ and $\beta$ in $G$. In
particular, this example gives an answer to a question raised independently by
Peter Cameron and by Alexander Fomin.

10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn