f = (7 3)(14 85 37 6) g = (5 8 26143) Write each of the following permutations 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. (a) fg = (b) ƒ-1 (c) fgƒ¬l = 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 = (7 3)(14 85 37 6) g = (5 8 26143) Write each of the following permutations 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. (a) fg = (b) ƒ-1 (c) fgƒ¬l = 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).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 16E

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