A geometric characterisation of Desarguesian spreads
classification
🧮 math.CO
keywords
characterisationspreadsdesarguesiangeometricmathrmrn-1elementsgeneral
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We provide a characterisation of $(n-1)$-spreads in $\mathrm{PG}(rn-1,q)$ that have $r$ normal elements in general position. In the same way, we obtain a geometric characterisation of Desarguesian $(n-1)$-spreads in $\mathrm{PG}(rn-1,q)$, $r>2$.
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