If a subset of the elements of a field satisfies the field axioms with the same operations of , then is called a subfield of . In a finite field of field order , with a prime, there exists a subfield of field order for every dividing .

See also

Extension Field, Field, Prime Subfield, Submanifold, Subspace

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Cite this as:

Weisstein, Eric W. "Subfield." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Subfield.html

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