#7616: fix bug in trivial number field extensions
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Reporter: rlm | Owner: rlm
Type: defect | Status: needs_review
Priority: major | Milestone: sage-4.3
Component: number fields | Keywords:
Work_issues: | Author: Robert Miller and Robert Bradshaw
Upstream: N/A | Reviewer:
Merged: |
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Comment(by cremona):
Robert -- care to tell us what will be in your S-units code? Something
relevant to descent perhaps? I would like to open a ticket to implement
so-called Selmer groups of number fields, i.e. K(S,m) = subgroup of
{{{K^*/(K^*)^m}}} consisting of all elements whose valuations at primes
outside S are multiples of m. This is used in m-descent. The main cases
are for prime m, but I also need m=4 and m=6. I have implementations of
all this in Magma which I could port.
Sorry, this is a bit off-topic...
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7616#comment:5>
Sage <http://www.sagemath.org>
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