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push-down theorem on class numbers
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(Theorem)
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As in the parent entry, given a number field $K$ , the class number of $K$ is denoted by $h_K$ .
- Fröh
- A. Fröhlich, On a method for the determination of class number factors in number fields, Mathematika, 4 (1957), 113-121.
- Iwas
- K. Iwasawa, A note on Class Numbers of Algebraic Number Fields, Abh. Math. Sem. Univ. Hamburg, 20 (1956), 257-258.
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"push-down theorem on class numbers" is owned by alozano.
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Cross-references: implies, totally ramified, prime, ramified, prime ideal, theorem, class number, number field
There is 1 reference to this entry.
This is version 3 of push-down theorem on class numbers, born on 2005-02-23, modified 2005-02-23.
Object id is 6815, canonical name is PushDownTheoremOnClassNumbers.
Accessed 1482 times total.
Classification:
| AMS MSC: | 11R29 (Number theory :: Algebraic number theory: global fields :: Class numbers, class groups, discriminants) | | | 11R32 (Number theory :: Algebraic number theory: global fields :: Galois theory) | | | 11R37 (Number theory :: Algebraic number theory: global fields :: Class field theory) |
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Pending Errata and Addenda
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