Abstract
In [4], Yoshiara constructed a family of q+ 3 planes inPG (5, q), q even, satisfying certain intersection properties. This is then used to construct extended generalized quadrangles of order (q+ 1, q− 1). In this note we examine the properties of these planes and show that the existence of a set of q+ 2 planes satisfying the intersection properties necessarily implies the existence of the (q+ 3)th plane, and that two such families meet in at most (2 q+ 6)/3 planes. We also pose some open completeness problems.
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