[GAP Forum] Orbits under conjugation by elements of centralizer
John Bamberg
john.bamberg at uwa.edu.au
Thu Aug 29 13:47:15 BST 2013
Hi Frédéric,
Could you clarify your question? Wouldn't H fix every element of S by conjugation? (Do you mean "normaliser"?)
Cheers,
John.
On 29/08/2013, at 7:47 PM, Frederic Vanhove <fvanhove at cage.UGent.be> wrote:
> Dear members of the forum,
>
> I am considering a group G and a subset S. If H denotes the centralizer
> of S in G, how can I consider the action on S under conjugation by
> elements of H?
>
> For instance, how could I obtain the corresponding partition of S into
> orbits?
>
> The command ConjugacyClasses considers the action of the full group on
> itself.
>
> Many thanks,
> Kind regards,
> Frédéric
>
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