Classification of book spreads in PG(5, 2)

Abstract

We classify all line spreads in(Error rendering LaTeX formula) of a special kind, namely those which are \emph{book spreads}. We show that up to isomorphism there are precisely nine different kinds of book spreads and describe the automorphism groups which stabilize them. Most of the main results are obtained in two independent ways, namely theoretically and by computer. \end