Abstract

We consider resolutions of projective geometries over finite fields. A resolution is a set partition of the set of lines such that each part, which is called resolution class, is a set partition of the set of points. If a resolution has a cyclic automorphism of full length the resolution is said to be point-cyclic. The projective geometry PG ( 5 , 2 ) and PG ( 7 , 2 ) are known to be point-cyclically resolvable. We describe an algorithm to construct such point-cyclic resolutions and show that PG ( 9 , 2 ) has also a point-cyclic resolution.

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