#6647: [with patch, not ready for review]Permutation Group improvements
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Reporter: nborie | Owner: nborie
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.1.1
Component: group_theory | Keywords: permutationgroup, orbit, stabilizer,
transversal
Reviewer: | Author: nborie
Merged: |
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Comment(by wdj):
Replying to [comment:5 nborie]:
> Hello wdj,
>
> This is one piece i need for strong generating system thus generate
integer vector up to action of a permgroup thus invariant theory of
multivariate polynomials. The road will be long...
>
> My English is pretty horrible. You're definitely right. I don't really
know in which order place my words and that can change the meaning. Here I
Think the transversals as Representative of the quotient G/G_{integer}
where G_{integer} = subgroup of G which stabilize integer.
>
> The reviewer have to feel free of correcting, susgesting improvement and
hiting me for my mistakes.
I would replace {{{Return a list of representatives of the orbit of the
given integer in the group}}} by
{{{If G is a permutation group acting on the set X = {1, 2, ...., n} and H
is the stabilizer subgroup of <integer>, a right (respectively left)
transversal is a set containing exactly one element from each right
(respectively left) coset of H. This method returns a right transversal of
G by H.}}}
However, if this is to be reviewed by applying 6620 and then this patch, I
can tell you that I had a problem
doing that.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6647#comment:7>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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