A Geometric Characterisation of Miquelian Inversive Planes of Even Order

Bhaskar Bagchi1
1 Theoretical Statistics and Mathematics Division indian Statistical Institute Calcutta 700 035 INDIA

Abstract

We obtain a new characterization, by a configuration theorem, of the Miquelian geometries among the finite inversive (= Möbius) planes of even order. The main tool used is a characterization due to J. Tits of elliptic ovoids in three-dimensional projective space,