Classification of book spreads in PG(5, 2)

Thomas McDonough; R. Shaw; S. Topalova

doi:10.1285/i15900932v33n2p43

Classification of book spreads in PG(5, 2)

Thomas McDonough, R. Shaw, S. Topalova

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

27 Downloads (Pure)

Abstract

We classify all line spreads S₂₁ in PG(5, 2) of a special kind, namely those which are 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.

Original language	English
Pages (from-to)	43-64
Number of pages	22
Journal	Note di Matematica
Volume	33
Issue number	2
DOIs	https://doi.org/10.1285/i15900932v33n2p43
Publication status	Published - 01 Jan 2013

Keywords

Combinatorial design
Line spread
PG(5, 2)

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10.1285/i15900932v33n2p43

Classification of book spreads in PG(5, 2)Accepted author manuscript, 213 KB

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N2 - We classify all line spreads S21 in PG(5, 2) of a special kind, namely those which are 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.

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Classification of book spreads in PG(5, 2)

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