English

Matroids with no $U_{2,n}$-minor and many hyperplanes

Combinatorics 2018-05-21 v2

Abstract

We construct, for every r3r \ge 3 and every prime power q>10q > 10, a rank-rr matroid with no U2,q+2U_{2,q+2}-minor, having more hyperplanes than the rank-rr projective geometry over GF(q)\mathrm{GF}(q).

Keywords

Cite

@article{arxiv.1708.06790,
  title  = {Matroids with no $U_{2,n}$-minor and many hyperplanes},
  author = {Adam Brown and Peter Nelson},
  journal= {arXiv preprint arXiv:1708.06790},
  year   = {2018}
}
R2 v1 2026-06-22T21:21:05.651Z