3-Designs from PSL(2,q) with cyclic starter blocks
Combinatorics
2025-12-16 v2 Group Theory
Abstract
We consider when the projective special linear group over a finite field defines a -design with a cyclic starter block. We will show that the equivalences of the existence of such - and - designs for a prime power , and - and - designs for a prime power , respectively.
Keywords
Cite
@article{arxiv.2502.13331,
title = {3-Designs from PSL(2,q) with cyclic starter blocks},
author = {Akihide Hanaki and Kenji Kobayashi and Akihiro Munemasa},
journal= {arXiv preprint arXiv:2502.13331},
year = {2025}
}