Orbits of rational n-sets of projective spaces under the action of the linear group
| dc.creator | Martí, Ricard | |
| dc.creator | Nart, Enric | |
| dc.date | 2007-01-29 | |
| dc.date.accessioned | 2026-07-07T07:43:38Z | |
| dc.date.available | 2026-07-07T07:43:38Z | |
| dc.description | For a fixed dimension $N$ we compute the generating function of the numbers $t_N(n)$ (respectively $\bar{t}_N(n)$) of $PGL_{N+1}(k)$-orbits of rational $n$-sets (respectively rational $n$-multisets) of the projective space $\mathb{P}^N$ over a finite field $k=\mathbb{F}_q$. For $N=1,2$ these results provide concrete formulas for $t_N(n)$ and $\bar{t}_N(n)$ as a polynomial in $q$ with integer coefficients. | |
| dc.identifier | https://arxiv.org/abs/math/0701836 | |
| dc.identifier | http://arxiv.org/abs/math/0701836 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122905 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.title | Orbits of rational n-sets of projective spaces under the action of the linear group | |
| dc.type | text |