Let σ1 = (25)(136) and σ2 = σ1(65) be the permutations in S7. Are σ1 and σ2 conjugate? If they are, give an explicit permutation such thatσ ^(-1) = σ2. Also, discuss again for σ2 = σ1^ 5 . Further find |C s_7 (σ)|, where σ = (25)(136).
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Let σ1 = (25)(136) and σ2 = σ1(65) be the permutations in S7. Are σ1 and σ2 conjugate? If they are, give an explicit permutation such thatσ ^(-1) = σ2. Also, discuss again for σ2 = σ1^ 5 . Further find |C s_7 (σ)|, where σ = (25)(136).
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Let σ1 = (25)(136) and σ2 = σ1(65) be the permutations in S7. Are σ1 and σ2 conjugate? If they are, give an explicit permutation such thatσ ^(-1) = σ2. Also, discuss again for σ2 = σ1^ 5 . Further find |C s_7 (σ)|, where σ = (25)(136).
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