Vol. 3, No. 1, 2006

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Construction of a point-cyclic resolution in $\mathrm{PG}(9,2)$

Michael Braun

Vol. 3 (2006), No. 1, 33–50

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.

Mathematical Subject Classification 2000
Primary: 51E20
Received: 6 October 2005
Accepted: 25 May 2006
Michael Braun