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- W1593017524 abstract "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." @default.
- W1593017524 created "2016-06-24" @default.
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- W1593017524 date "2006-11-16" @default.
- W1593017524 modified "2023-09-27" @default.
- W1593017524 title "Finite Projective Planes" @default.
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- W1593017524 hasPublicationYear "2006" @default.
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