Normal closure
≈ 1 min read
Names in other languages
No names in other languages are held for this entry yet.
Article bodies are English and are not machine-translated. A name in another language is not a translation of the article.
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.
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.
Text derived from https://en.wikipedia.org/w/index.php?oldid=1023316895 under CC BY-SA 4.0; modifications have been made.