On Tuesday, September 4, 2012 6:21:11 AM UTC-7, John Cremona wrote:
>
> If pi is a permutation, e.g. defined by pi=permutations(4)[3], then
> pi.signature() returns what I have always called the "sign" of pi, and
> none of pi.sign(), pi.sgn(), sign(pi), sgn(pi) work.
>
But:
sage: G = SymmetricGroup(2)
sage: a = G("(1,2)")
sage: a.sign()
-1
So I'd say +1 to greater coordination between group element permutations
and purely combinatorial permutations overall, and in particular having
.sign() as John suggests for the "other" permutations.
Rob
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