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arxiv: 1702.01321 · v1 · pith:LPOOQO25new · submitted 2017-02-04 · 🧮 math.CO

A short note on the order of the Zhang-Liu matrices over arbitrary fields

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keywords arbitrarymatricesfieldsorderresultzhang-liuauthorcalculate
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We give necessary and sufficient conditions for the Zhang-Liu matrices to be diagonalizable over arbitrary fields and provide the eigen-decomposition when it is possible. We use this result to calculate the order of these matrices over any arbitrary field. This generalizes a result of the second author.

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