Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A classification of finite locally 2-transitive generalized quadrangles   Ostrom and Wagner (1959) proved that if the automorphism group $G$ of a
finite projective plane $\pi$ acts $2$-transitively on the points of $\pi$,
then $\pi$ is isomorphic to the Desarguesian projective plane and $G$ is
isomorphic to $\mathrm{P\Gamma L}(3,q)$ (for some prime-power $q$). In the more
general case of a finite rank $2$ irreducible spherical building, also known as
a \emph{generalized polygon}, the theorem of Fong and Seitz (1973) gave a
classification of the \emph{Moufang} examples. A conjecture of Kantor, made in
print in 1991, says that there are only two non-classical examples of
flag-transitive generalized quadrangles up to duality. Recently, the authors
made progress toward this conjecture by classifying those finite generalized
quadrangles which have an automorphism group $G$ acting transitively on
antiflags. In this paper, we take this classification much further by weakening
the hypothesis to $G$ being transitive on ordered pairs of collinear points and
ordered pairs of concurrent lines.

21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph