Problem 3. Let m, n = Z with 2 ≤ m ≤ n. 3.1. Let (a1 a2 that ... am) Є Sn be any m-cycle, and let yЄ Sn be arbitrary. Show -1 (a1 a2 ... am) = ((a1) (a2) ... (am)). 3.2. Let σ = Sn be an n-cycle and let A = {0}. Prove that Cs (A) = (σ).

Trigonometry (MindTap Course List)
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Section6.4: Hyperbolas
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Problem 3. Let m, n = Z with 2 ≤ m ≤ n.
3.1. Let (a1 a2
that
...
am) Є Sn be any m-cycle, and let yЄ Sn be arbitrary. Show
-1
(a1 a2
...
am) = ((a1) (a2)
...
(am)).
3.2. Let σ = Sn be an n-cycle and let A = {0}. Prove that Cs (A) = (σ).
Transcribed Image Text:Problem 3. Let m, n = Z with 2 ≤ m ≤ n. 3.1. Let (a1 a2 that ... am) Є Sn be any m-cycle, and let yЄ Sn be arbitrary. Show -1 (a1 a2 ... am) = ((a1) (a2) ... (am)). 3.2. Let σ = Sn be an n-cycle and let A = {0}. Prove that Cs (A) = (σ).
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