On Abelian Difference Sets with Parameters of 3-dimensional Projective Geometries

Details On Abelian Difference Sets with Parameters of 3-dimensional Projective Geometries On Abelian Difference Sets with Parameters of 3-dimensional Projective Geometries

2007-04-17

arxiv.org/abs/0704.2203v1

Mathematics

Combinatorics

12 pages

Scientific paper

A difference set is said to have classical parameters if $ (v,k, \lambda) = (\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.

Affiliated with

Also associated with

No associations

Rating

On Abelian Difference Sets with Parameters of 3-dimensional Projective Geometries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Abelian Difference Sets with Parameters of 3-dimensional Projective Geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Abelian Difference Sets with Parameters of 3-dimensional Projective Geometries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-234191