English

Reconstructing a generalized quadrangle with a hemisystem from a $4-$class association scheme

Combinatorics 2022-05-12 v1

Abstract

In 2013, van Dam, Martin and Muzychuk constructed a cometric QQ- antipodal 44-class association scheme from a GQ of order (t2,t)(t^2,t), tt odd, which have a hemisystem. In this paper we characterize this scheme by its Krein array. The techniques which are used involve the triple intersection numbers introduced by Coolsaet and Juri\v{s}i\'c.

Cite

@article{arxiv.2205.05349,
  title  = {Reconstructing a generalized quadrangle with a hemisystem from a $4-$class association scheme},
  author = {Giusy Monzillo},
  journal= {arXiv preprint arXiv:2205.05349},
  year   = {2022}
}
R2 v1 2026-06-24T11:13:59.246Z