Abstract | ||
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Let k=F"q be a finite field. We enumerate k-rational n-sets of (unordered) points in a projective space P^N over k, and we compute the generating function for the numbers of PGL"N"+"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. |
Year | DOI | Venue |
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2008 | 10.1016/j.jcta.2007.08.002 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
integer coefficient,generating function,projective space,zeta function,genus three curve,rational n-set,k-rational n-sets,finite poset,finite field,linear group,rational n -set,projective linear group,number theory | Discrete mathematics,Projective line,Combinatorics,Complex projective space,Projective line over a ring,Rational point,Projective linear group,Quaternionic projective space,Mathematics,Projective space,Rational normal curve | Journal |
Volume | Issue | ISSN |
115 | 4 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
1 | 0.39 | 2 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Ricard Martí | 1 | 2 | 0.90 |
Enric Nart | 2 | 25 | 5.92 |