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Groups and FieldsHardConjugacy and the Class Equation

Conjugacy and the Class Equation · Hard problem

In S7S_7, let σ=(1 2 3)(4 5)(6 7)\sigma=(1\,2\,3)(4\,5)(6\,7). What is ∣CS7(σ)∣|C_{S_7}(\sigma)|?