Equivalence of Butson-type Hadamard matrices
نویسندگان
چکیده
Abstract Two matrices $$H_1$$ H 1 and $$H_2$$ 2 with entries from a multiplicative group G are said to be monomially equivalent, denoted by $$H_1\cong H_2$$ ≅ , if one of the can obtained other via sequence row column permutations and, respectively, left- right-multiplication rows columns elements . One may further define Hadamard equivalent $$H_1 \cong \phi (H_2)$$ ϕ ( ) for some $$\phi \in \mathrm {Aut}(G)$$ ∈ Aut G For many classes related matrices, it is straightforward show that these closed under equivalence. It here shown also set Butson-type
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2022
ISSN: ['0925-9899', '1572-9192']
DOI: https://doi.org/10.1007/s10801-021-01109-8