Classification of book spreads in PG(5, 2)

Authors

  • T.P. McDonough
  • R. Shaw
  • S. Topalova

DOI:

https://doi.org/10.1285/i15900932v33n2p43

Keywords:

line spread, PG(5, 2), combinatorial design

Abstract

We classify all line spreads $\mathcal{S}_{21}$ in $\operatorname*{PG}(5,2)$ 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

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Published

12-02-2014

Issue

Volume 33, Issue 2 (2013)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode