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- Reflection_theorem abstract "For reflection principles in set theory, see reflection principle.In algebraic number theory, a reflection theorem or Spiegelungssatz (German for reflection theorem – see Spiegel and Satz) is one of a collection of theorems linking the sizes of different ideal class groups (or ray class groups), or the sizes of different isotypic components of a class group. The original example is due to Ernst Eduard Kummer, who showed that the class number of the cyclotomic field , with p a prime number, will be divisible by p if the class number of the maximal real subfield is. Another example is due to Scholz. A simplified version of his theorem states that if 3 divides the class number of a real quadratic field , then 3 also divides the class number of the imaginary quadratic field .".
- Reflection_theorem wikiPageID "3225643".
- Reflection_theorem wikiPageRevisionID "597641146".
- Reflection_theorem hasPhotoCollection Reflection_theorem.
- Reflection_theorem subject Category:Theorems_in_algebraic_number_theory.
- Reflection_theorem type Abstraction100002137.
- Reflection_theorem type Communication100033020.
- Reflection_theorem type Message106598915.
- Reflection_theorem type Proposition106750804.
- Reflection_theorem type Statement106722453.
- Reflection_theorem type Theorem106752293.
- Reflection_theorem type TheoremsInAlgebraicNumberTheory.
- Reflection_theorem type TheoremsInNumberTheory.
- Reflection_theorem comment "For reflection principles in set theory, see reflection principle.In algebraic number theory, a reflection theorem or Spiegelungssatz (German for reflection theorem – see Spiegel and Satz) is one of a collection of theorems linking the sizes of different ideal class groups (or ray class groups), or the sizes of different isotypic components of a class group.".
- Reflection_theorem label "Reflection theorem".
- Reflection_theorem sameAs m.05257xw.
- Reflection_theorem sameAs Q7307252.
- Reflection_theorem sameAs Q7307252.
- Reflection_theorem sameAs Reflection_theorem.
- Reflection_theorem wasDerivedFrom Reflection_theorem?oldid=597641146.
- Reflection_theorem isPrimaryTopicOf Reflection_theorem.