Flag-Transitive 6-(v, k, 2) Designs

• 作者: Guohua Chen Shangzhao Li Xiaolian Liao
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: FLAG-TRANSITIVE Combinatorial Design PERMUTATION GROUP AFFINE GROUP 3-Homogeneous PERMUTATION Groups
• 年，卷（期）: 2014,（5）
• 页码范围: 203-208
• 页数: 6页
• 分类号: O1

摘要

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.