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8: Group Theory Algorithms
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Core Algorithms
Compute the Conjugacy Class of an Element of a Permutation Group
The conjugacy class of a permutation in a group can be computed as the orbit of the permutation under standard action of the elements of the group.
In[1]:=
X
GroupOrbits[AlternatingGroup[6], {Cycles[{{1, 2}, {3, 4, 5, 6}}]}]
Out[1]=