Abstract
We state that the flag-transitive automorphism group of a 2-(υ, 5, λ) design \({\mathscr{D}}\) is primitive of affine type or almost simple type. We also find that there are up to isomorphism 20 2-(υ, 5, λ) designs admitting flag-transitive automorphism groups with socle of a sporadic simple group.
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Acknowledgements
The authors would like to thank the anonymous referees for their valuable suggestions and comments which helped to improve this paper. This work was supported by the National Natural Science Foundation of China (Grant No. 11871224).
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Shen, J., Zhou, S. Flag-transitive 2-(υ, 5, λ) designs with sporadic socle. Front. Math. China 15, 1201–1210 (2020). https://doi.org/10.1007/s11464-020-0876-3
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DOI: https://doi.org/10.1007/s11464-020-0876-3