Abstract
Ovoids, m-ovoids, k-arcs, and hemisystems of generalized quadrangles and partial geometries are studied. In several of the proofs the same matrix technique is used, which was developed in a slightly less general form by P.J. Cameron. As an appendix we show that this elementary technique can be used to prove the Krein inequalities for strongly regular graphs, without the need of Hadamard multiplication and the theory of minimal idempotents.
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