Partial linear spaces built on hexagons (Q872050)
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scientific article; zbMATH DE number 5137595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partial linear spaces built on hexagons |
scientific article; zbMATH DE number 5137595 |
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Partial linear spaces built on hexagons (English)
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27 March 2007
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The authors define four families of geometries from the elliptic hyperplanes of a parabolic quadric in a finite projective space of dimension \(6\). One class consists of the semi-partial geometries of \textit{J. Thas} [Adv. Geom. 1, No. 3, 229--244 (2001; Zbl 0985.51006)], which are now linked more directly to split Cayley hexagons. The main results determine the full automorphism groups of all these geometries.
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partial linear space
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generalized hexagon
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