Consider the element σ = (123)(145) ∈ S5. (a) Write σ as a product of disjoint cycles. (Hint: It may be helpful to first write σ in array notation.) (b) Use part (b) to write β^99 as a product of disjoint cycles. (Hint: Recall that a k-cycle has order k.)
Consider the element σ = (123)(145) ∈ S5. (a) Write σ as a product of disjoint cycles. (Hint: It may be helpful to first write σ in array notation.) (b) Use part (b) to write β^99 as a product of disjoint cycles. (Hint: Recall that a k-cycle has order k.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 56E
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Consider the element σ = (123)(145) ∈ S5. (a) Write σ as a product of disjoint cycles. (Hint: It may be helpful to first write σ in array notation.) (b) Use part (b) to write β^99 as a product of disjoint cycles. (Hint: Recall that a k-cycle has order k.)
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