#9407: fixed fields for dirichlet characters and conductors and dirichlet
characters for abelian fields
-----------------------------------------------------------+----------------
Reporter: wuthrich | Owner:
davidloeffler
Type: enhancement | Status:
needs_review
Priority: major | Milestone:
sage-4.6.2
Component: number fields | Keywords:
Dirichlet characters, abelian fields, class field theory
Author: Michael Daub, John Bergdall, Chris Wuthrich | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by mstreng):
* priority: minor => major
Old description:
> There is a correspondance between groups of Dirichlet characters and
> Galois groups of abelian fields (over Q). We implement here three
> functions
>
> * the conductor of an abelian field
>
> * the set of Dirichlet characters of an abelian field
>
> * the fixed field of a Dirichlet character
New description:
There is a correspondance between groups of Dirichlet characters and
Galois groups of abelian fields (over Q). We implement here three
functions
* the conductor of an abelian field
* the set of Dirichlet characters of an abelian field
* the fixed field of a Dirichlet character
Apply [attachment:trac_9407_new.patch]
--
Comment:
Apply trac_9407_new.patch
What is that symbol meant to be on line 688 of sage/modular/dirichlet.py?
Disquisitiones §343. It looks like A-hat for me.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9407#comment:8>
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