Talk:Field (mathematics)

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There is a unique finite field of characteristic p for each power of a prime number p.

I don't think that this common truth requires a {{prove}} tag: An field of pⁿ elements can easily be constructed as an extension of a field with p elements, e.g., : just look at the zeroes of in the algebraic closure .

This field is unique (up to isomorphism, of course), as the multiplicative group of a finite field is cyclic.

--BRichtigen 12:06, 5 November 2008 (EST)