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Flag-Transitive Block Designs and Finite Simple Exceptional Groups of Lie Type

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Abstract

In this article, we study 2-designs with \(\gcd (r,\lambda )=1\) admitting a flag-transitive almost simple automorphism group with socle a finite simple exceptional group of Lie type. We obtain four infinite families of such designs and provide some examples in each of these families.

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Acknowledgements

The author would like to thank anonymous referees for providing us helpful and constructive comments and suggestions. The author are also grateful to Cheryl E. Praeger and Alice Devillers for supporting his visit to UWA (The University of Western Australia) during July-September 2019. He would also like to thank Alexander Bors for introducing reference [21].

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  1. Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran

    Seyed Hassan Alavi

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Alavi, S.H. Flag-Transitive Block Designs and Finite Simple Exceptional Groups of Lie Type. Graphs and Combinatorics 36, 1001–1014 (2020). https://doi.org/10.1007/s00373-020-02161-0

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