Automorphisms of generalized Sylvester Hadamard matrices

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• 作者：R. Egan^a ; ^{ronan.egan@math.uniri.hr} ; D.L. Flannery^b
• 关键词：Generalized Hadamard matrix ; Automorphism group ; Cocyclic development
• 刊名：Discrete Mathematics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：340
• 期：3
• 页码：516-523
• 全文大小：431 K
• 卷排序：340

文摘

We examine the cocyclic development of the generalized Sylvester (also called Drake) Hadamard matrix. In particular, we give detailed results about the permutation automorphism group and full automorphism group. Following on from this, we derive existence conditions for the indexing and extension groups of each matrix viewed as a cocyclic pairwise combinatorial design.