public static CompositeDictionary <IPermutation, int> GetConjOrbit(
this IPermutation perm, IPermutation conj, uint maxSize = 1000)
{
var pd = PermutationEx.PermutationDictionary(perm.Order);
var curConj = conj;
var curRes = perm;
for (var i = 0; i < maxSize; i++)
{
if (pd.ContainsKey(curRes))
{
return(pd);
}
pd.Add(curRes, 1);
curRes = perm.ConjugateBy(curConj);
curConj = curConj.Multiply(conj);
}
return(pd);
}
public static IPermutation ConjugateByRandomSingleTwoCycle(this IPermutation perm, IRando randy)
{
return(perm.ConjugateBy(randy.ToSingleTwoCyclePermutation(perm.Order)));
// return perm.ConjugateBy(randy.ToFullTwoCyclePermutation(perm.Order));
}
public static IPermutation ConjugateByRandomPermutation(this IPermutation perm, IRando randy)
{
return(perm.ConjugateBy(randy.ToPermutation(perm.Order)));
}
