Flag‐Transitive 2‐Designs and Mathieu Group <i>M</i> <sub>12</sub>
In this paper, we announce the completion of the search for all flag‐transitive point‐primitive nontrivial 2‐designs with M 12 as the socle of their automorphism groups, and we discover that there are exactly nine of these nonisomorphic 2‐designs. This paper enriches the classification of 2‐designs and provides valuable references for addressing the classification of designs under the action of other simple groups.
Authors
- Delu Tian (ORCID: https://orcid.org/0000-0002-2098-2350)
- Zhilin Zhang (ORCID: https://orcid.org/0000-0002-7643-7845)
- Yajie Wang (ORCID: https://orcid.org/0000-0003-0648-5195)
Institutions
- Guangdong University of Technology (CN)
- North China University of Water Resources and Electric Power (CN)
- Guangdong University Of Finances and Economics (CN)
- Guangdong University of Finance (CN)
Publication Details
- Journal
- Journal of Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/jom/2866118
- Citations
- 1
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 5.33
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Henan Province
- Basic and Applied Basic Research Foundation of Guangdong Province