Journal of Guangxi Normal University(Natural Science Edition) ›› 2020, Vol. 38 ›› Issue (4): 59-65.doi: 10.16088/j.issn.1001-6600.2020.04.007

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Block-transitive 2-(v,k,λ) Designs with Imprimitive Group ScwrSd

BAI Shuyi, ZHOU Tao, PENG Shali, GAN Lingfang, ZHAN Xiaoqin*   

  1. School of Science, East China Jiaotong University, Nanchang Jiangxi 330013, China
  • Received:2019-01-09 Published:2020-07-13

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Abstract: The study of 2-designs with highly symmetric properties, for example, block-transitivity, is one of the leading subjects in design theory. Most of the studies of block-transitive 2-designs hitherto focus on the case that the automorphism group is point-primitive. Thus, the point-imprimitive case becomes a hot issue in the field. The main aim of this article is to study the classification of block-transitive 2-designs with point-imprimitive automorphism group ScwrSd and determine all such 2-(v,k,λ) designs with v=cd and 30<v≤50.

Key words: 2-design, automorphism group, block-transitive, imprimitive

CLC Number: 

  • O152.1
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