Exercise 10.2. Let a = (a₁ a2...an) be an n-cycle in Sym(m) show that there is an element 3 such that a = 3(1 2 3 ...n)B-¹. Hint: start from the injection given by i goes to a; and extend this to a bijection [m] [m]. Show that this bijection satisfies the above.
Exercise 10.2. Let a = (a₁ a2...an) be an n-cycle in Sym(m) show that there is an element 3 such that a = 3(1 2 3 ...n)B-¹. Hint: start from the injection given by i goes to a; and extend this to a bijection [m] [m]. Show that this bijection satisfies the above.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Exercise 10.2. Let a = (a₁ a₂...an) be an n-cycle in Sym(m) show that there is an
element such that a = B(1 2 3 ...n)B-¹.
3
Hint: start from the injection given by i goes to a; and extend this to a bijection
[m] → [m]. Show that this bijection satisfies the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb41de797-8c36-43f3-a49e-0d77bbbd163e%2Fc961893f-f12a-4d1c-b67a-63ba7e346b26%2Fjgxnqye_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 10.2. Let a = (a₁ a₂...an) be an n-cycle in Sym(m) show that there is an
element such that a = B(1 2 3 ...n)B-¹.
3
Hint: start from the injection given by i goes to a; and extend this to a bijection
[m] → [m]. Show that this bijection satisfies the above.
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