Title
Orbits of rational n-sets of projective spaces under the action of the linear group
Abstract
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
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
Ricard Martí120.90
Enric Nart2255.92