Abstract
We refine the Paige-Wexler canonical form for incidence matrices of finite projective planes and thus obtain a simple relationship between the incidence matrix and a corresponding planar ternary ring. We also demonstrate a simple relationship between an incidence matrix and a corresponding set of mutually orthogonal latin squares.
Keywords
- Canonical Form
- Incidence Matrix
- Coordinatisation Process
- Permutation Matrice
- Incidence Matrice
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References
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© 1983 Springer-Verlag
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Bourn, S. (1983). A canonical form for incidence matrices of finite projective planes and their associated latin squares and planar ternary rings. In: Casse, L.R.A. (eds) Combinatorial Mathematics X. Lecture Notes in Mathematics, vol 1036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071512
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DOI: https://doi.org/10.1007/BFb0071512
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12708-6
Online ISBN: 978-3-540-38694-0
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