Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-28T05:54:08.845Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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