#133: [with patch, needs review] Galois action
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Reporter: wdj | Owner: davidloeffler
Type: enhancement | Status: assigned
Priority: minor | Milestone: sage-4.0.1
Component: number theory | Keywords: Galois group, algebric number theory
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Changes (by davidloeffler):
* owner: was => davidloeffler
* status: new => assigned
Comment:
This one was almost fixed by #5159; but unfortunately the above snippet
didn't quite work, because my new !GaloisGroup class derived from
!PermutationGroup_generic, and the random_element method of that class
always returned a !PermutationGroupElement (rather than a
!GaloisGroupElement, which has more functionality).
The above patch makes the necessary tiny changes to the permutation groups
code so this now works, although the interface is slightly different from
the above:
{{{
sage: F.<z> = CyclotomicField(7)
sage: G = F.galois_group()
sage: phi = G.random_element()
sage: phi(z)
z^4
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/133#comment:4>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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