Use Theorem 14.2.3 to determine the number of nonequivalent colorings of the corners of a square with $p$ colors.
Added by Julie C.
Step 1
Theorem 14.2.3 (orbit-counting / Burnside) says the number of nonequivalent colorings of a set X with p colors under the action of a finite group G is (1/|G|) * sum_{g in G} p^{c(g)}, where c(g) is the number of cycles of the permutation of X induced by g. Show more…
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