Lesson plan
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. * 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.
Article summary
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.
Key claims
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.