On Mar 16, 2:40 pm, John H Palmieri <jhpalmier...@gmail.com> wrote:
> On Mar 16, 2:26 pm, Robert Bradshaw <rober...@math.washington.edu>
> wrote:
>
> > On Mar 16, 2009, at 2:25 PM, epple wrote:
>
> > > Actually I am getting the same result for other permutations, like:
>
> > > sage: h=PermutationGroupElement('(1,3,2)')
> > > sage: k=PermutationGroupElement('(1,2,3),(4,5)')
> > > sage: k^2==h,h==k^2
> > > (False, True)
>
> > Hmm... looks like permutation groups aren't being properly coerced
> > from one Parent to another.
>
> Should they be? I mean, should h and k^2 be equal, or not, in this
> case?
In particular, I wouldn't mind this behavior:
sage: h = PermutationGroupElement('(1,3,2)') # in S(3)
sage: k = PermutationGroupElement('(1,2,3),(4,5)') # in S(5)
sage: k^2 == h, h == k^2
(False, False)
sage: S5 = k.parent()
sage: h5 = S5(h)
sage: k^2 == h5, h5 == k^2
(True, True)
John
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