English

Three Affine SL(2,8)-Unitals

Combinatorics 2020-12-22 v2

Abstract

SL(2,q)\operatorname{SL}(2,q)-unitals are unitals of order qq admitting a regular action of SL(2,q)\operatorname{SL}(2,q) on the complement of some block. We introduce three non-classical affine SL(2,8)\operatorname{SL}(2,8)-unitals and their full automorphism groups. Each of those three affine unitals can be completed to at least two non-isomorphic unitals, leading to six pairwise non-isomorphic unitals of order 88.

Keywords

Cite

@article{arxiv.2012.10134,
  title  = {Three Affine SL(2,8)-Unitals},
  author = {Verena Möhler},
  journal= {arXiv preprint arXiv:2012.10134},
  year   = {2020}
}

Comments

10 pages; references updated. arXiv admin note: text overlap with arXiv:2012.10116, arXiv:2012.10129

R2 v1 2026-06-23T21:04:20.312Z