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Exercise 8.5. a) Find permutations a, ß € Sym(5) such that a² and 3² are the identity re the identity and the product aß is a 5-cycle, find similar permutations in Sn. b) Let a, 3, 7 € S5 be as follows, find (a5³35a³³aßya)². = (12) (34) 3= (135) (24) 7 = (1425)

Exercise 8.5. a) Find permutations a, ß € Sym(5) such that a² and 3² are the identity re the identity and the product aß is a 5-cycle, find similar permutations in Sn. b) Let a, 3, 7 € S5 be as follows, find (a5³35a³³aßya)². = (12) (34) 3= (135) (24) 7 = (1425)

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 8.5. a) Find permutations a, 3 € Sym(5) such that a² and 3² are the identity re the identity and the product aß is a 5-cycle, find similar permutations in Sn. b) Let a, 3, 7 € S5 be as follows, find (a5³35a³³aßya) ². x = (12) (34) B = (135) (24) y = (1425)
Transcribed Image Text:Exercise 8.5. a) Find permutations a, 3 € Sym(5) such that a² and 3² are the identity re the identity and the product aß is a 5-cycle, find similar permutations in Sn. b) Let a, 3, 7 € S5 be as follows, find (a5³35a³³aßya) ². x = (12) (34) B = (135) (24) y = (1425)
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