仿射型群与旗传递6-(v, k, 3)设计
Affine Type Groups and Flag-Transitive 6-(v, k, 3) Designs
摘要:
对旗传递设计进行分类是代数组合的重要课题。由于旗传递6-(v, k, 3)设计的自同构群是3-齐次的，我们利用3-齐次本原置换群分类定理来研究旗传递6-(v, k, 3)设计的自同构分类问题，并证明了旗传递6-(v, k, 3)设计的自同构群不同构于仿射型群。
Abstract:
The classification of flag-transitive designs is an important subject on algebraic combinatorics. And the automorphism groups of a flag-transitive 6-(v, k, 3) design are 3-homogeneous. Therefore, using the classification theorem of 3-homogeneous permutation groups, the classification of flag-transitive 6-(v, k, 3) designs can be discussed, and we prove that the automorphism groups of a flag-transitive 6-(v, k, 3) design are not isomorphic to affine type groups.
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