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- W2923049025 abstract "Let $G$ be a finite group and let $h$ be a positive integer. A $text{BH}(G,h)$ matrix is a $G$-invariant $|G|times |G|$ matrix $H$ whose entries are complex $h$th roots of unity such that $HH^*=|G|I_{|G|}$, where $H^*$ denotes the complex conjugate transpose of $H$, and $I_{|G|}$ is the identity matrix of order $|G|$. In this paper, we give three new constructions of $text{BH}(G,h)$ matrices. The first construction is the first known family of $text{BH}(G,h)$ matrices in which $G$ does not need to be abelian. The second and the third constructions are two families of $text{BH}(G,h)$ matrices in which $G$ is a finite local ring." @default.
- W2923049025 created "2019-04-01" @default.
- W2923049025 creator A5047941725 @default.
- W2923049025 date "2019-03-23" @default.
- W2923049025 modified "2023-09-27" @default.
- W2923049025 title "New Constructions of Group-Invariant Butson Hadamard Matrices" @default.
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