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The term normal closure is used in two senses in mathematics:

- In group theory, the normal closure of a subset of a group is the smallest normal subgroup that contains the subset; see conjugate closure.
- In field theory, the normal closure of an algebraic extension F/K is an extension field L of F such that L/K is normal and L is minimal with this property. See normal extension.

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Last updated on Friday March 24, 2006 at 15:54:24 PST (GMT -0800)

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