f = (54)(71 8 5) %3D (a) Write the permutation f4 as a product of disjoint cycles, separated by commas (e.g. (1,2), (3, 4, 5), ... ). Do not include 1-cycles (e.g. (2) ) in your answer. (b) Determine the order of f4. Assume multiplication of permutations f,g obeys the rule (fg)(x) = f(g(x)) so (1, 3)(1,2) = (1,2, 3) not (1,3,2).
f = (54)(71 8 5) %3D (a) Write the permutation f4 as a product of disjoint cycles, separated by commas (e.g. (1,2), (3, 4, 5), ... ). Do not include 1-cycles (e.g. (2) ) in your answer. (b) Determine the order of f4. Assume multiplication of permutations f,g obeys the rule (fg)(x) = f(g(x)) so (1, 3)(1,2) = (1,2, 3) not (1,3,2).
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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Let ?f be a permutation on the set {1,2,3,4,5,6,7,8}{1,2,3,4,5,6,7,8}, defined as follows
![f = (54)(7 18 5)
(a) Write the permutation f* as a product of disjoint cycles, separated by commas (e.g. (1, 2), (3,4, 5), ... ).
Do not include 1-cycles (e.g. (2) ) in your answer.
få =
(b) Determine the order of f4.
Assume multiplication of permutations f,g obeys the rule (fg)(x) = f(g(x)) so (1, 3)(1, 2) = (1, 2, 3) not (1, 3, 2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2775e8c-94c2-43ee-8379-e9f8aff0b154%2F44a84260-471c-4072-a822-718e40031460%2F6q42qin_processed.png&w=3840&q=75)
Transcribed Image Text:f = (54)(7 18 5)
(a) Write the permutation f* as a product of disjoint cycles, separated by commas (e.g. (1, 2), (3,4, 5), ... ).
Do not include 1-cycles (e.g. (2) ) in your answer.
få =
(b) Determine the order of f4.
Assume multiplication of permutations f,g obeys the rule (fg)(x) = f(g(x)) so (1, 3)(1, 2) = (1, 2, 3) not (1, 3, 2).
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