On May 6, 2009, at 7:44 PM, jimfar wrote:

> After generating
> sage: B=AlternatingGroup(5)
>
> and verifying an element is in it,
> sage: c=(1,2,3)
> sage: c in B
> True
>
> How do I find the inverse of c in B?

Your c here isn't really a permutation element, it's just a tuple. To  
create (and manipulate) the actual permutation element do:

sage: c = B((1,2,3)); c
(1,2,3)
sage: c^-1
(1,3,2)
sage: c^2
(1,3,2)
sage: parent(c)
Alternating group of order 5!/2 as a permutation group

- Robert


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