Hi,
cl2 := Filtered( ConjugacyClasses( G ), class -> Size( class ) = 2 );
will give you the list of conjugacy classes of size 2. Then you
can retrieve the elemtents of any class in this list by
Elements( cl2[1] );
Elements( cl2[2] );
etc.
Sincerely, Sandeep.
On 11 May 2012, at 16:04, Linda Cupples wrote:
> Hey,
>
> I've been trying to find a way to determine the elements in each of the
> conjugacy classes that is given by gap,
>
> My code is pretty much,
>
> F:=FreeGroup("a","b");
> <free group on the generators [ a, b ]>
> a:=F.1;;b:=F.2;;
> G:=F/[a^4,b^4,(a*b)^2,(a^3*b)^2];
>
> ConjugacyClasses(G);
> [ <identity ...>^G, a^G, b^G, a^2*b^2^G, a^2^G, a*b^G, a^3^G, a^2*b^G,
> b^2^G, a^3*b^G ]
>
> List(ConjugacyClasses(G), Size);
> [ 1, 2, 2, 1, 1, 2, 2, 2, 1, 2 ]
>
>
> Is it possible to retrive the actual elements in each of the conjugacy
> classes of size 2? Instead of the output "a^G", a and its conjugate?
>
> Thanks in advance
>
> Linda
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