Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (4): 8-17.

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Flag-transitive Non-symmetric 2-designs with at Most 20 Points

Liu Yan， Zhou Shenglin   

  1. School of Mathematics,South China University of Technology,Guangzhou 510640,China
  • Online:2016-12-30 Published:2020-09-25

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Abstract: In this paper,we study the classification of flag-transitive nonsymmetric 2-(v,k,λ)designs with v ≤20.We prove that if(r,λ)=1then there are exactly 18non-isomorphic designs.

Key words: Nonsymmetric, 2-design Automorphism group, Flag-transitive

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