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Abstract: An book is a collection of -subspaces in called pages, which cover the whole projective space and intersect in a common -subspace called the spine such that any point outside the spine is in exactly one page. An book -spread is a -spread in for which there exists an book, such that the points of each page of this book and hence the points of the spine are partitioned by -subspaces of the -spread. We commence by showing that an book -spread exists if and only if the following three conditions hold: In general the number of different kinds of book -spreads is a tiny proportion of the number of different kinds of -spreads in . In the rest of this paper we present computer-aided classification results for certain types of book 1-spreads. [Copyright &y& Elsevier]

Abstract: We prove that a non-empty set of at most lines of with the properties that (1) every point of is incident with either or elements of , (2) every plane of is incident with either , or elements of , (3) every solid of is incident with either , , or elements of , and (4) every four-dimensional subspace of is incident with at most elements of is necessarily the set of lines of a split Cayley hexagon naturally embedded in . [Copyright &y& Elsevier]

Abstract: In with and , a complete -cap is constructed. A characterization in terms of the collineation group preserving such a cap is also provided. [Copyright &y& Elsevier]