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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.
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.
Topics referred to by the same term
This disambiguation page lists articles associated with the title Normal closure. If an internal link incorrectly led you here, you may wish to change the link to point directly to the intended article.