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gotmilk04
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Homework Statement
Write down cycle decompositions of all 24 of the rigid motions of the cube by regarding each rigid motion as a permutation of the 6 faces.
Then, this is a subgroup of S[tex]_{6}[/tex], called S[tex]_{CUBE}[/tex].
Prove or disprove that S[tex]_{CUBE}[/tex] is a subgroup of A[tex]_{6}[/tex]
Homework Equations
The Attempt at a Solution
I'm not sure how the permutations are represented in regards to the 6 faces of the cube, so I can't do much else until I know that.