English

MPLS = Mutually Projective Latin Squares

Combinatorics 2012-03-07 v2

Abstract

We will see that every finite projective plane of order k > 1 gives rise to a complete set of (k-1) MPLS (= mutually projective latin squares) of order k and by reversing the process we can construct a finite projective plane of order k when a complete set of (k-1) MPLS of order k is given.

Keywords

Cite

@article{arxiv.0907.0578,
  title  = {MPLS = Mutually Projective Latin Squares},
  author = {Leendert Bleijenga},
  journal= {arXiv preprint arXiv:0907.0578},
  year   = {2012}
}

Comments

13 pages, in V2 corrected 2 typos, changed Latin into latin, added two footnotes, divided the text into 3 sections with headlines, numbering unchanged

R2 v1 2026-06-21T13:21:00.686Z