Year: 2026
Type: preprint
Abstract: In this article, we study $2$-$(v,k,λ)$ designs $\mathcal{D}$ admitting a flag-transitive almost simple automorphism group $G$ with socle one of the Mathieu groups. In conclusion, we obtain all such $2$-designs with explicit constructions with appropriate references to known designs. To our knowledge, we obtain $101$ newly-constructed flag-transitive $2$-designs.
Source: arXiv (Cornell University)
Authors: Bakhtiari, Fatemeh, Daneshkhah, Ashraf
Institution: Bu-Ali Sina University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213428018