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Find all elements of the subgroups

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Reference no: EM132413910

Question - Let σ = (1 3 5 7) and τ = (2 7 3) be elements of S7.

(a) Find all elements of the subgroups (σ) and (τ).

(b) What order does σ have? What order does τ have? Can you generalize this to a statement for any cycle?

(c) Compute the product στ. What is its order?

Reference no: EM132413910

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