Abstract
In this paper, we prove that flag-transitive automorphism groups of 2-designs with \(10^3\ge \lambda \ge (r,\lambda )^2\) are point-primitive of affine or almost simple type.
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Z. Zhang: Supported by the China Postdoctoral Science Foundation (No:2019M662945) and the National Natural Science Foundation of China (No:12001204).
H. Liang: Supported by the Guangdong Basic and Applied Basic Research Foundation (No:2019A1515110908) and the Project of Department of Education of Guangdong Province(No:2019KQNCX164).
S. Zhou: Supported by the National Natural Science Foundation of China (No:11071081).
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Zhang, Z., Liang, H. & Zhou, S. A note on flag-transitive automorphism groups of 2-designs with \(\lambda \ge (r,\lambda )^2\). AAECC 34, 17–31 (2023). https://doi.org/10.1007/s00200-020-00476-2
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DOI: https://doi.org/10.1007/s00200-020-00476-2