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Is there a general method, given [tex]\sigma[/tex] and [tex]\rho[/tex] in Sn, for finding a permutation [tex]\tau[/tex] in Sn such that [tex]\rho = \tau ^{-1} \sigma \tau[/tex]? I know how to do it when [tex]\sigma[/tex] and [tex]\rho[/tex] are made of a single k-cycle, but what happens when they are more complex?

For example, for:

[tex]\sigma = (1, 2)(3, 4)[/tex]

[tex]\rho = (5, 6)(1, 3)[/tex]

In S6.

Thanks,

Chen

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# Me, myself and conjugate permutations

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