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Exercise 8.3. a) Show that if o is a k-cycle, then ok is the identity. b) Show that if o is a written as a product of disjoint cycles ₁,...,0₁ of lengths 1₁,..., lk. Then oll2k is the identity.

Exercise 8.3. a) Show that if o is a k-cycle, then ok is the identity. b) Show that if o is a written as a product of disjoint cycles ₁,...,0₁ of lengths 1₁,..., lk. Then oll2k is the identity.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 8.3. a) Show that if o is a k-cycle, then ok is the identity. b) 1, Show that if o is a written as a product of disjoint cycles 0₁,...,0₁ of lengths 1₁,..., lk. Then oll2..lk is the identity. σι
Transcribed Image Text:Exercise 8.3. a) Show that if o is a k-cycle, then ok is the identity. b) 1, Show that if o is a written as a product of disjoint cycles 0₁,...,0₁ of lengths 1₁,..., lk. Then oll2..lk is the identity. σι
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