\(\{0,1,2\}\)-semiaffine planes with invisible lines (Q684366)

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scientific article; zbMATH DE number 411642
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\(\{0,1,2\}\)-semiaffine planes with invisible lines
scientific article; zbMATH DE number 411642

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    \(\{0,1,2\}\)-semiaffine planes with invisible lines (English)
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    13 September 1993
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    \(H\)-semiaffine planes with invisible lines are introduced by \textit{A. Beutelspacher} and \textit{I. Schestag} [Geom. Dedicata 24, 319-327 (1987; Zbl 0651.51011)]. Moreover \textit{P. M. Lo Re} and \textit{D. Olanda} [Simon Stevin 60, 157-182 (1986; Zbl 0609.51004)] study \(\{0,1,2\}\)-semiaffine finite planes. In this paper the weakly projective planes of order \(n\) are introduced and the embeddability of a weakly \(\{0,1,2\}\)-semiaffine plane, proper and irreducible, of order greater than four into a weakly projective plane of the same order is proved.
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    semiaffine planes
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    linear spaces
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    weakly projective planes
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    embeddability
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