Some possibilities: levicivita, parity, sign, signature, or sgn.

"sign" is already an exported method, but sign(::Permutation) is not 
defined, yet.

On Monday, February 9, 2015 at 6:18:42 PM UTC-5, Stefan Karpinski wrote:
>
> I agree that it's useful but what should it be called?
>
> On Mon, Feb 9, 2015 at 2:45 PM, Jiahao Chen <[email protected] <javascript:>> 
> wrote:
>
>> > But, if it is there, I haven't found it yet
>>
>> Me neither. I think Levi-Civita would be useful to have in Base if you'd 
>> like to write an implementation.
>>
>
>

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