#17664: Fix underlying permutation group of decomposition group
-------------------------+-------------------------------------------------
Reporter: pbruin | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.5
Component: number | Keywords: Galois group decomposition
fields | permutation
Merged in: | Authors: Peter Bruin
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
-------------------------+-------------------------------------------------
Decomposition groups are sometimes represented as permutation groups on
the wrong number of elements:
{{{
sage: L.<c> = NumberField(x^2 + 1)
sage: G = L.galois_group()
sage: P = L.primes_above(5)[0]
sage: H = G.decomposition_group(P)
sage: G.domain()
{1, 2}
sage: H.domain()
{1} # should be {1, 2}
}}}
This causes
{{{
sage: G.artin_symbol(P)
Traceback (most recent call last):
...
PariError: incorrect type in permtopol [permutation] (t_VECSMALL)
}}}
Original report: https://groups.google.com/forum/#!topic/sage-
nt/EuoNYq2KFnU
--
Ticket URL: <http://trac.sagemath.org/ticket/17664>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
