PM  >> Vol. 7 No. 3 (May 2017)

    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

  • 全文下载: PDF(451KB) HTML   XML   PP.159-162   DOI: 10.12677/PM.2017.73020  
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作者:  

廖小莲,陈国华:湖南人文科技学院数学与金融学院,湖南 娄底

关键词:
旗传递3–齐次置换群自同构群仿射型群Flag-Transitive 3 -Homogeneous Groups Permutation Group Affine Group

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。

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.

文章引用:
廖小莲, 陈国华. 仿射型群与旗传递6-(v, k, 3)设计[J]. 理论数学, 2017, 7(3): 159-162. https://doi.org/10.12677/PM.2017.73020

参考文献

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