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.

Famous quotes containing the word normal:

    “Perhaps the feelings that we experience when we are in love represent a normal state. Being in love shows a person who he should be.”
    —Anton Pavlovich Chekhov (1860–1904)