exercise 3 4 1 let 7 eur s and suppose that o k k is also a j cycle an
Let 7 € S₂ and suppose that o = (k₁ k₂
is also a j-cycle, and is given by
kj) is a j-cycle. Prove that the conjugate of σ by T
= (T(K1) T(K₂)
Further prove that if o' Sn is any other j-cycle, then o and o' are conjugate. Hint: For the second part, you
should explicitly find a conjugating element T € Sn.
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