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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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