The commutativity graph of the real sedenion algebra is considered. It is shown that the elements whose imaginary parts are not zero divisors correspond to isolated vertices of this graph. All other elements form a connected component whose diameter equals 3.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 524, 2023, pp. 36–55.
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Zhilina, S.A. Diameter of the Commutativity Graph of the Real Sedenions. J Math Sci 281, 246–259 (2024). https://doi.org/10.1007/s10958-024-07097-x
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DOI: https://doi.org/10.1007/s10958-024-07097-x