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manuscripta mathematica

, Volume 8, Issue 1, pp 21–26 | Cite as

Uniqueness of the inversive plane of order 7

  • Ralph Hugh Francis Denniston
Article

Abstract

A search has shown that any inversive plane of order 7 must be isomorphic with the Miquelian plane. The method used was explicitly set out in a companion paper, which was concerned with a plane of order 5.

Keywords

Number Theory Algebraic Geometry Topological Group Companion Paper Inversive Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    DENNISTON, R.H.F.: On arcs in projective planes of order 9. manuscripta math.4, 61–89 (1971).Google Scholar
  2. [2]
    DENNISTON, R.H.F.: Uniqueness of the inversive plane of order 5. manuscripta math.. (above).Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Ralph Hugh Francis Denniston
    • 1
  1. 1.University of LeicesterEngland

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