On Block-transitive 6-(v, k, λ)-Designs with k at Most 10000

• 作者: Jing Chen Qionghua Tan Weijun Liu
• 来源期刊: 代数集刊:英文版
• 学科: 工学
• 关键词: 区传递 设计 Tgt 数据块
• 年，卷（期）: 2014,（2）
• 页码范围: 231-234
• 页数: 4页
• 分类号: TP309
• 语种: 中文

摘要

In recent years, there has been a great deal of research concerning the flag- transitive t-designs, however, few about the block-transitive t-designs with t large (t 〉 4). In 1993, Cameron and Praeger conjectured that there are no non-trivial block-transitive 6-designs. In this paper, we prove that the conjecture is true when k ≤ 10000 and G ≤ Aut(D) is almost simple.