On 2020-03-08, David Joyner <wdjoy...@gmail.com> wrote:
> On a tangential matter, I'd like to add that
> according to Dan Bump's notes "Group Representation
> Theory" (http://sporadic.stanford.edu/bump/group/gr1_4.html),
> this set of elements that the permutations does not
> fix is called the support.
Exactly.
> If that is true then the SageMath
> support does not seem to be implemented correctly:
>
> sage: G = SymmetricGroup(10)
> sage: g = G.random_element(); g
> (1,3,6,7,4)(5,8,9)
> sage: g.support()
> {1, 2, 3, 4, 5, 6, 7, 8}
Oops. Certainly 2 is fixed, so, doesn't belong to the support.
Deserves a ticket, IMHO.
Best regards,
Simon
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