Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Projective Planes   We propose graph theoretic equivalents for existence of a finite projective
plane. We then develop a new approach and see that the problem of existence of
a finite projective plane of order n is linked up with a subset of sharply 2
transitive permutations. If n is prime power then it is well known that there
exists a finite field and existence of this field implies existence of MOLS
which further implies existence of fpp. We show that by assuming the existence
of MOLS the existence of a group made up of sharply 2 transitive permutations
can be implied through transforming the given MOLS to suitable form. From a
known results it then follows that when such group exists the order n has to be
a prime power. We then see the relation between MOLS and determinantal
monomials and between MOLS and a cyclic group that permutes the rows of MOLS.
Finally, we conclude the paper with some important remarks.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics