Quaternion

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Try https://saidit.net/s/NumberTheory/comments/5x87/octonion/ . I posted them under https://saidit.net/s/NumberTheory/ .

A deep theorem from algebra states that there are only number "fields" isomorphic to Z_p ( p is prime) , Q, R, H and O, everything else is isomorphic to one of them under the same assumptions.