The Elementary Divisors of the Incidence Matrices of Skew Lines in PG(3,p)
Joshua Ducey, Peter Sin
TL;DR
This paper computes the elementary divisors of incidence matrices in PG(3,p) where lines are incident if skew, providing detailed algebraic structure of these matrices.
Contribution
It introduces a complete calculation of elementary divisors for incidence matrices of skew lines in PG(3,p), a novel algebraic characterization.
Findings
Elementary divisors are explicitly computed for the incidence matrices.
Results reveal the algebraic structure of skew line incidences in projective 3-space.
Provides tools for further algebraic and combinatorial analysis of projective geometries.
Abstract
The elementary divisors of the incidence matrices of lines in are computed, where two lines are incident if and only if they are skew.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsgraph theory and CDMA systems · Finite Group Theory Research · Coding theory and cryptography