Geodesic
Scattered linear sets and pseudoreguli
The electronic journal of combinatorics, Tome 20 (2013) no. 1
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In this paper, we show that one can associate a pseudoregulus with every scattered linear set of rank $3n$ in $\mathrm{PG}(2n-1,q^3)$. We construct a scattered linear set having a given pseudoregulus as associated pseudoregulus and prove that there are $q-1$ different scattered linear sets that have the same associated pseudoregulus. Finally, we give a characterisation of reguli and pseudoreguli in $\mathrm{PG}(3,q^3)$.
DOI : 10.37236/2871
Classification : 51E20
Mots-clés : scattered linear sets, reguli, pseudoreguli 
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     author = {Michel Lavrauw and Geertrui Van de Voorde},
     title = {Scattered linear sets and pseudoreguli},
     journal = {The electronic journal of combinatorics},
     year = {2013},
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     number = {1},
     doi = {10.37236/2871},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/2871/}
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Michel Lavrauw; Geertrui Van de Voorde. Scattered linear sets and pseudoreguli. The electronic journal of combinatorics, Tome 20 (2013) no. 1. doi: 10.37236/2871

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