Block-Transitive 3-(v, 5, λ) Designs with Sporadic or Alternating Socle
This paper presents a systematic classification of 3-designs with block size 5. Let be a nontrivial 3-(v, 5, λ) design, and let G ≤ Aut act transitively on blocks. We classify all such pairs (, G) where the socle of G is either: one of the 26 sporadic simple groups, or an alternating group An (n ≥ 5).
Authors
- Suyun Ding (ORCID: https://orcid.org/0000-0002-6564-4427)
- Xiaoqin Zhan (ORCID: https://orcid.org/0000-0003-0669-6419)
- Hui Huang (ORCID: https://orcid.org/0000-0001-5839-9243)
Institutions
- East China Jiaotong University (CN)
Publication Details
- Journal
- Contemporary Mathematics
- Published
- 2025-08-26
- DOI
- https://doi.org/10.37256/cm.6520257693
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Jiangxi Province