On Apr 15, 3:26 pm, David Joyner <[email protected]> wrote:
> I'm not sure what you mean by better way. Is this what you want?
>
> sage: G = AlternatingGroup(5)
> sage: g = G.random_element()
> sage: CCg = Set([x*g*x^(-1) for x in G])
Thanks for your answer,
I was thinking more about getting all the conjugacy classes in a list
(or set) of sets, I guess I could define my own functions as
def conjugacyclass(group, g):
return Set([x*g*x^(-1) for x in group])
def conjugacyclasses(group):
return Set([conjugacyclass(group, g) for g in group])
but I thought maybe GAP function ConjugacyClasses() was more efficient
and there was a way of taking advantage of it. Also, is there a method
for obtaining the centralizer of an element inside a group?
Javier
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