On Wednesday, September 10, 2014 10:54:06 AM UTC-7, Nils Bruin wrote:
>
> On Wednesday, September 10, 2014 10:38:50 AM UTC-7, Nils Bruin wrote:
>>
>> sage: Permutation([0,1,2])
>>
>
In fact, one CAN see from this list whether the permutation is 0-based or
1-based, since every element from the domain must must occur exactly once,
so
Permutation([1,2,0]) is a cyclic permutation on the 3 element set {0,1,2}
and Permutation([2,3,1]) is a cyclic permutation on {1,2,3}. So, in cycle
notation, 0- or 1-based doesn't matter (unless you're explicit about
domain, but then you should just be explicit about domain) and with
enumerated-images notation you can distinguish the two. I guess the only
point then is whether it's acceptable to have
sage: Permutation([2,3,1])
[0,2,3,1]
(but really, we could just always suppress the printing of fixed initial
and tail, in which case the printing problem goes away too).
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