| 摘要: |
| 研究区传递2-设计的分类是置换群与组合设计领域中的重要课题之一. 目前关于区传递2-设计的分类主要集中在自同构群具有旗传递性和点本原性上. 本文研究了区本原2-(v,k,λ)对称设计的分类问题, 并证明了当设计的点数不大于200且自同构群不为仿射型时, 在同构意义下只存在54个这样的设计. |
| 关键词: 区本原 自同构群 对称设计 几乎单型 乘积型 |
| DOI： |
| 分类号:O152.1 |
| 基金项目: |
|
| THE CLASSIFICATION OF BLOCK-PRIMITIVE SYMMETRIC DESIGNS WITH SMALL POINTS NUMBER |
|
zhanliwen, zhanxiaoqin
|
|
East China Jiao Tong University
|
| Abstract: |
| The study of the classification of block-transitive 2-designs is one of the important topic in the field of permutation group and combinatorial designs. At persent, the classification
of block-transitive 2-designs mainly focuses on the flag-transitivity and point-primitivity. In this article, we study the classification of block-primitive 2-(v,k,λ) symmetric designs, and prove the
following result: Let D be a 2-(v,k,λ) symmetric design with v ≤ 200, and G be a block-primitive automorphism group of D. If G is not of affine type, then up to isomorphism there are only 54
such designs. |
| Key words: Block-primitive Symmetric design Almost simple Product type |
