English

Point-transitive and 1-rotational unitals of order 5

Combinatorics 2025-04-28 v1

Abstract

In this paper we introduce enumeration of unitals of order 55, which are also Steiner systems S(2,6,126)S(2,6,126), where automorphism group acts transitively and effectively on points or fixes one point.

Keywords

Cite

@article{arxiv.2504.18390,
  title  = {Point-transitive and 1-rotational unitals of order 5},
  author = {Ivan Hetman and Taras Banakh and Alex Ravsky},
  journal= {arXiv preprint arXiv:2504.18390},
  year   = {2025}
}