Hi all,
Thanks Darij for bringing up the issue, and everyone for your
feedback! Here is my (strong for once) opinion on this issue. Sorry I
am taking off right now for vacations, so it's stated in a rush.
- I for myself usually prefer left composition for permutations (like
most combinatorialist) but do prefer right actions in many other
related situations. In short, I want both :-)
- GAP (and to a lesser extent Magma) is *the* reference when it comes
to computational group theory. I find it very natural that Sage
chose to follow GAP's lead.
- A global option for this is bad. In general, global options should
not affect the semantic.
- +1 on a parent option:
sage: PermutationGroup(..., action='left')
Note that this is consistent with what we do for finite set maps:
sage: M = FiniteSetMaps([1, 2, 3], action = 'right')
Maybe PermutationGroupElement will need to take an option too, and a
decision will need to be taken for mixed products.
- -1 on changing the default value. There is way too much risk to
break user code out there and in a way to subtle way.
Cheers,
Nicolas
--
Nicolas M. Thiéry "Isil" <nthi...@users.sf.net>
http://Nicolas.Thiery.name/
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