Orbits of rational n-sets of projective spaces under the action of the linear group

Ricard Martí, Enric Nart

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

Let k = Fq be a finite field. We enumerate k-rational n-sets of (unordered) points in a projective space PN over k, and we compute the generating function for the numbers of PGLN + 1 (k)-orbits of these n-sets. For N = 1, 2 we obtain a formula for these numbers of orbits as a polynomial in q with integer coefficients. © 2007 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)547-568
JournalJournal of Combinatorial Theory - Series A
Volume115
DOIs
Publication statusPublished - 1 May 2008

Keywords

  • Finite field
  • Finite poset
  • Generating function
  • Projective linear group
  • Projective space
  • Rational n-set
  • Zeta function

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