On Abelian Difference Sets with Parameters of 3-dimensional Projective Geometries
| dc.creator | Jennings, Kevin | |
| dc.date | 2007-04-17 | |
| dc.date.accessioned | 2026-07-07T07:56:52Z | |
| dc.date.available | 2026-07-07T07:56:52Z | |
| dc.description | A difference set is said to have classical parameters if $ (v,k, λ) = (\frac{q^d-1}{q-1}, \frac{q^{d-1}-1}{q-1}, \frac{q^{d-2}-1}{q-1}).$ The case $d=3$ corresponds to planar difference sets. We focus here on the family of abelian difference sets with $d=4$. The only known examples of such difference sets correspond to the projective geometries $PG(3,q)$. We consider an arbitrary difference set with the parameters of $PG(3,q)$ in an abelian group and establish constraints on its structure. In particular, we discern embedded substructures. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0704.2203 | |
| dc.identifier | http://arxiv.org/abs/0704.2203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127474 | |
| dc.subject | Combinatorics | |
| dc.subject | 05B10; 51E20 ; 05B25 | |
| dc.title | On Abelian Difference Sets with Parameters of 3-dimensional Projective Geometries | |
| dc.type | text |