Scattered Linear Sets and Pseudoreguli

Michel Lavrauw, Geertrui Van De Voorde

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

In this paper, we show that one can associate a pseudoregulus with every scattered linear set of rank 3n in PG(2n?1,q3). 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 PG(3,q3).
Original languageEnglish
Article numberP15
Number of pages14
JournalElectronic Journal of Combinatorics
Volume20
Issue number1
Publication statusPublished - 2013

Keywords

  • Linear set
  • pseudoregulus

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