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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
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4. Snapper, E., “Periodic linear transformations of affine and projective geometries”, Canadian J. of Math., 2 (1950), 149.CrossRefGoogle Scholar