Normal closure
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Normal_closure".

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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