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has been cited by the following article:

• TITLE: Flag-Transitive 6-(v, k, 2) Designs

  AUTHORS: Xiaolian Liao, Shangzhao Li, Guohua Chen

  KEYWORDS: Flag-Transitive, Combinatorial Design, Permutation Group, Affine Group, 3-Homogeneous Permutation Groups

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.5, May 12, 2014

  ABSTRACT: The automorphism group of a flag-transitive 6–(v, k, 2) design is a 3-homogeneous permutation group. Therefore, using the classification theorem of 3–homogeneous permutation groups, the classification of flag-transitive 6-(v, k,2) designs can be discussed. In this paper, by analyzing the combination quantity relation of 6–(v, k, 2) design and the characteristics of 3-homogeneous permutation groups, it is proved that: there are no 6–(v, k, 2) designs D admitting a flag transitive group G ≤ Aut (D) of automorphisms.