Constructions of dihedral Steiner quadruple systems

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• 作者：Yun Li ; Lijun Ji ; ^{jilijun@suda.edu.cn}
• 关键词：Dihedral group ; Steiner quadruple system ; HH-design ; GG-design
• 刊名：Discrete Mathematics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：340
• 期：3
• 页码：351-360
• 全文大小：484 K
• 卷排序：340

文摘

A dihedral SQS is an SQS admitting a point-regular dihedral automorphism group. Some constructions of dihedral SQSs are established in this paper. We also prove that for v≡2,4(mod6), there is a dihedral SQS(v)(v) if there is a dihedral H(p,2,4,3)H(p,2,4,3) design or an SS-cyclic SQS(2p)(2p) for each odd prime divisor pp of vv. As a corollary, we enlarge the set of known values of vv for which there exists a dihedral SQS(v)(v).