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Permutation mappings in finite projective planes

Published online by Cambridge University Press:  26 February 2010

J. W. Archbold
J. W. Archbold
Affiliation:
University College, London.
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Extract

By a permutation mapping in a finite projective plane π is meant a one-to-one mapping σ: P→l of the points of π onto the lines of π with the property that corresponding elements are incident. The simplest aspects of such mappings are discussed in this note.

Type
Research Article
Information
Mathematika , Volume 13 , Issue 1 , June 1966 , pp. 45 - 48
Copyright
Copyright © University College London 1966

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References

1. Hall, M. Jr., “Cyclic projective planes”, Duke Math. J., 14 (1947), 1079.Google Scholar
2. Segre, B., “Ovals in a finite projective plane”, Canadian J. of Math., 7 (1955), 414.CrossRefGoogle Scholar
3. Singer, J., “A theorem in finite projective geometry and some applications to number theory”, Trans. American Math. Soc., 43 (1938), 377.CrossRefGoogle Scholar
4. Snapper, E., “Periodic linear transformations of affine and projective geometries”, Canadian J. of Math., 2 (1950), 149.CrossRefGoogle Scholar