IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v351y2019icp153-161.html
   My bibliography  Save this article

2−(v,k,1) designs admitting automorphism groups with socle Sz(q)

Author

Listed:
  • Li, Shangzhao
  • Liu, Weijun
  • Li, Xianhua

Abstract

The classification of all block-transitive 2−(v,k,1) designs has been known as a long-standing and still open problem. This work is a contribution to the general program to classify the pairs (D,G) in which D is a 2−(v,k,1) design and G act as a point-primitive block-transitive automorphism group of D with a Suzuki group Sz(q) socle. We determine the point-stabilizer Gα ∩ Sz(q) and the block-stabilizer GB ∩ Sz(q), and the parameter of D is given.

Suggested Citation

  • Li, Shangzhao & Liu, Weijun & Li, Xianhua, 2019. "2−(v,k,1) designs admitting automorphism groups with socle Sz(q)," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 153-161.
    • Handle: RePEc:eee:apmaco:v:351:y:2019:i:c:p:153-161
    DOI: 10.1016/j.amc.2019.01.036
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319300451
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.01.036?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Shangzhao & Liu, Weijun & Li, Xianhua, 2017. "On the automorphisms of 2−(v,k,1) designs," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 120-127.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tang, Jianxiong & Yang, Chaohui & Li, Shangzhao & Dai, Shaojun & Liu, Weijun, 2020. "Block transitive 2−(v,k,1) designs and PGL2(q) groups," Applied Mathematics and Computation, Elsevier, vol. 374(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tang, Jianxiong & Yang, Chaohui & Li, Shangzhao & Dai, Shaojun & Liu, Weijun, 2020. "Block transitive 2−(v,k,1) designs and PGL2(q) groups," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    2. Mohamad, Mostafa & Songthaveephol, Veerasith, 2020. "Clash of titans: The challenges of socio-technical transitions in the electrical vehicle technologies – the case study of Thai automotive industry," Technological Forecasting and Social Change, Elsevier, vol. 153(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:351:y:2019:i:c:p:153-161. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.