public static CompositeDictionary <IPermutation, int> GetOrbit(
this IPermutation perm, uint maxSize = 1000)
{
var pd = PermutationEx.PermutationDictionary(perm.Order);
var cume = perm;
for (var i = 0; i < maxSize; i++)
{
if (pd.ContainsKey(cume))
{
return(pd);
}
pd.Add(cume, 1);
cume = cume.Multiply(perm);
}
return(pd);
}
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);
}