The Hall plane of order 9-revisited
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.
DOI Code:
10.1285/i15900932v28n1p105
Keywords:
hall plane; Baer groups
Classification:
51E23; 51A40
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