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![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
root-discriminant
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(Definition)
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"root-discriminant" is owned by alozano.
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(view preamble)
Cross-references: equation, sides, roots, ring of integers, discriminant ideal, Hilbert class field, finite primes, unramified, extension, degree, discriminant, number field
There is 1 reference to this entry.
This is version 2 of root-discriminant, born on 2005-02-24, modified 2005-02-24.
Object id is 6824, canonical name is RootDiscriminant.
Accessed 1977 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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![$ n=[K:\mathbb{Q}]$](http://images.planetmath.org:8080/cache/objects/6824/l2h/img3.png "$ n=[K:\mathbb{Q}]$"){kind=small}
![$\displaystyle \vert\sqrt[n]{d_K}\vert$](http://images.planetmath.org:8080/cache/objects/6824/l2h/img5.png "$\displaystyle \vert\sqrt[n]{d_K}\vert$"){kind=small}
![$\displaystyle \vert d_E\vert=\vert d_F\vert^{[E:F]}$](http://images.planetmath.org:8080/cache/objects/6824/l2h/img13.png "$\displaystyle \vert d_E\vert=\vert d_F\vert^{[E:F]}$"){kind=small}
![$ [E:\mathbb{Q}]$](http://images.planetmath.org:8080/cache/objects/6824/l2h/img14.png "$ [E:\mathbb{Q}]$"){kind=small}
