Projective planes of order 12 and PG(3,3) (Q1808815)
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scientific article; zbMATH DE number 1369803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projective planes of order 12 and PG(3,3) |
scientific article; zbMATH DE number 1369803 |
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Projective planes of order 12 and PG(3,3) (English)
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30 July 2000
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The author gives a complete proof of the fact that the projective space \(\text{PG}(3,3)\) cannot be extended to a projective plane of order~12. An incomplete proof (omitting some cases) was given by \textit{M. Hall} and \textit{R. Roth} [J. Comb. Theory, Ser. A 37, 22-31 (1984; Zbl 0543.05015)]. Actually, the author proves a slightly more general result, namely: There does not exist a covering set of spreads in \(\text{PG}(3,3)\).
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projective planes
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spreads
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covering sets of spreads
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