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On m-ovoids of finite classical polar spaces with an irreducible transitive automorphism group

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Abstract

In this paper, we classify the m-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. In particular, we obtain several new infinite families of transitive m-ovoids.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 12171428), the Sino-German Mobility Programme M-0157 and Shandong Provincial Natural Science Foundation (Grant No. ZR2022QA069). The authors are grateful to the reviewers for their detailed comments and suggestions that helped to improve the presentation of the paper greatly.

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Authors and Affiliations

  1. School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, China

    Tao Feng

  2. Department of Mathematics and National Center for Applied Mathematics Shenzhen, Southern University of Science and Technology, Shenzhen, 518055, China

    Weicong Li

  3. Key Laboratory of Cryptologic Technology and Information Security, Ministry of Education, Shandong University, Qingdao, 266237, China

    Ran Tao

  4. School of Cyber Science and Technology, Shandong University, Qingdao, 266237, China

    Ran Tao

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  1. Tao Feng
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  2. Weicong Li
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  3. Ran Tao
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Correspondence to Ran Tao.

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Feng, T., Li, W. & Tao, R. On m-ovoids of finite classical polar spaces with an irreducible transitive automorphism group. Sci. China Math. 67, 683–712 (2024). https://doi.org/10.1007/s11425-021-2060-3

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  • DOI: https://doi.org/10.1007/s11425-021-2060-3

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