The Hall plane of order 9-revisited

Authors

  • Mauro Biliotti
  • Vikram Jha
  • Norman L. Johnson
  • Alessandro Montinaro

DOI:

https://doi.org/10.1285/i15900932v28n1p105

Keywords:

hall plane, Baer groups

Abstract

It is shown that the Hall plane of order 9 admits a collineation group isomorphic to SL(2,3) generated by Baer 3-collineations, whose Baer axes are disjoint as subspaces, where the union of whose components completely cover the components of the Hall plane. This group acts doubly transitive on a set of four points on the line at infinity of the plane.

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Published

01-01-2008

Issue

Section

Articoli