Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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[sets and number] please explain it using simple words and step by step, thanks :)

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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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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