[GAP Forum] Orbits under conjugation by elements of centralizer

[John Bamberg]

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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