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Stickelberger's theorem
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(Theorem)
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Note that itself need not be an annihilator, just that any multiple of it in
is.
This result allows for the most basic connections between the (otherwise hard to determine) structure of a cyclotomic ideal class group and its collection of annihilators. For an application of Stickelberger's theorem, see Herbrand's theorem.
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"Stickelberger's theorem" is owned by mathcam.
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(view preamble)
| Also defines: |
Stickelberger element |
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Cross-references: Herbrand's theorem, multiple, ideal class group, annihilator, group ring, Galois group, extension, cyclotomic field
There are 2 references to this entry.
This is version 3 of Stickelberger's theorem, born on 2004-02-27, modified 2004-03-02.
Object id is 5642, canonical name is StickelbergersTheorem.
Accessed 2575 times total.
Classification:
| AMS MSC: | 11R29 (Number theory :: Algebraic number theory: global fields :: Class numbers, class groups, discriminants) |
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Pending Errata and Addenda
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