I know that finite fields only exist for prime-power order. Why is there only one finite field for a prime-power order?
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1Do you know of splitting fields? – Randall Oct 08 '22 at 16:07
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I don't know about splitting fields. – mathlander Oct 08 '22 at 16:08
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2Any textbook that contains the statement (that finite fields of a given size are unique up to isomorphism) should also contain a proof of that statement. – Greg Martin Oct 08 '22 at 16:08