English

q-Steiner Systems Do Exist

Combinatorics 2012-11-13 v1

Abstract

In this paper we give the first construction of a q-analog of a Steiner system. Using a computer search we found at least 26 q-Steiner Systems S_2[2,3,13] admitting the normalizer of a singer cycle as a group of automorphisms.

Cite

@article{arxiv.1211.2758,
  title  = {q-Steiner Systems Do Exist},
  author = {Michael Braun and Alfred Wassermann},
  journal= {arXiv preprint arXiv:1211.2758},
  year   = {2012}
}
R2 v1 2026-06-21T22:37:04.503Z