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Flag-transitive point-quasiprimitive 2-\((v,\, k,\, 2)\) designs

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Abstract

Let \(\mathcal {D}\) be a non-trivial 2-\((v,\,k,\,2)\) design. Assume that G is a flag-transitive and point-quasiprimitive automorphism group of \(\mathcal {D},\) then G is of holomorph affine or almost simple type.

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Acknowledgements

The authors sincerely thank the anonymous reviewers for their very helpful suggestions and detailed comments which led to the improvement of the paper. This work was supported by the National Science Foundation of China (Grant No. 11471123) and the Natural Science Foundation of Guangdong Province (Grant No. 2017A030313001).

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Correspondence to Shenglin Zhou.

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Communicated by L. Teirlinck.

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Zhang, Z., Zhou, S. Flag-transitive point-quasiprimitive 2-\((v,\, k,\, 2)\) designs. Des. Codes Cryptogr. 86, 1963–1971 (2018). https://doi.org/10.1007/s10623-017-0432-7

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  • DOI: https://doi.org/10.1007/s10623-017-0432-7

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