Some new 3-designs from P SL(2,q) with q ≡ 1(mod 4)

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我们从 PSL 的亚群的行动决定轨道的尺寸(2, q ) 在射影的线 X = GF (q) 上 {} 与 q 主要力量并且对 1 模适合 4。作为它的申请的一个例子,我们构造承认 PSL 的简单 3 设计的一些新家庭(2, q ) 作为自守组。
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