#8124: Selmer groups for number fields
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Reporter: rlm | Owner: davidloeffler
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-4.3.2
Component: number fields | Keywords:
Author: Robert Miller | Upstream: N/A
Reviewer: cremona, wuthrich | Merged:
Work_issues: |
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Changes (by cremona):
* status: needs_review => positive_review
* reviewer: => cremona, wuthrich
Comment:
Looks good; tests pass. Building the docs (reference html) revealed a
problem in polynomial_quotient_ring.py, preexisting in the selmer_group
function: the macro "\cross" was not recognised. I could not get
"\times" to work instead (which is what I normally use for this) but *
does, so I put that in.
Regarding Chris's comment: of course I agree, this should be a proper
abelian group. But even making it a semi-functional abelian group of the
sort used for unit groups and class groups would require quite a bit of
extra work, since this code finds generators but _not_ the group
structure. So I think that should be in another ticket. (For example, I
would like to use this function for m=4 and will try to do so. In that
case there will in general be generators of order 2 as well as some of
order 4.)
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8124#comment:3>
Sage <http://www.sagemath.org>
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