Abstract
In this paper, we study the flag-transitive automorphism groups of 2-designs and prove that if G is a flag-transitive automorphism group of a 2-design \(\mathcal D\) with \(r>\lambda (k-3)\), then G is a primitive permutation group of affine, almost simple type or product type. Moreover, it generalizes the above result to the case that \(r>(r,\lambda )(k-3)\).
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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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Communicated by L. Teirlinck.
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This work is supported by the National Natural Science Foundation of China (Grant No. 11871224).
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Zhao, Y., Zhou, S. Flag-transitive 2-\((v,k,\lambda )\) designs with \(r>\lambda (k-3)\). Des. Codes Cryptogr. 90, 863–869 (2022). https://doi.org/10.1007/s10623-022-01010-w
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DOI: https://doi.org/10.1007/s10623-022-01010-w