Abstract
In this paper, we study a flag-transitive automorphism group G of symmetric 2-\((v,k,\lambda )\) designs, where \(\lambda >1\) and the order \(n=k-\lambda \) is a prime number. We prove that G is point-primitive, and it is of affine or almost simple type.
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Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant No. 12271173). The authors thank the anonymous referees for their valuable suggestions and comments which helped to improve the paper.
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Communicated by M. Buratti.
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Lu, Z., Zhou, S. Flag-transitive symmetric 2-designs of prime order. Des. Codes Cryptogr. 92, 259–266 (2024). https://doi.org/10.1007/s10623-023-01307-4
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DOI: https://doi.org/10.1007/s10623-023-01307-4