On Sat, Aug 25, 2012 at 10:54 PM, Chris Smith <[email protected]> wrote:
> Well, one way to "fix" it would be to overload __pow__ so that P**int
> does the usual power but P**P does multiplication...but python will
> parse this from R to L. Does P**P have meaning of its own?

In group theory, (and in Gap) x^y means "conjugation" : y^(-1)*x*y.
This is not implemented in Sage, so I would not say it is universal.
It sounds like you are suggesting this: for elements of the Permutation
class:
1.  define __mult__ to be L to R mult,
1. overload __pow__ to be R to L mult, if both args are perms, and
to be the usual power if the right arg is an int.
If that is what you are saying, then I vote +1 for it (provided
it is clearly documented as usual).

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