Find the orders of the following members of S16, and determine which pairs of them are conjugate: (i) (1 5 7 16) (2 11 13) (3 6)(8 10 12), (ii) (3 4) (5 9) (6 14)(7 10 11), (iii) (1 14)(2 4 8) (5 10)(6 7).

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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Find the orders of the following members of S16, and determine which pairs of them are conjugate:
(i) (1 5 7 16) (2 11 13) (3 6)(8 10 12),
(ii) (3 4) (5 9) (6 14) (7 10 11),
(1 14) (2 4 8)(5 10)(6 7).
Transcribed Image Text:Find the orders of the following members of S16, and determine which pairs of them are conjugate: (i) (1 5 7 16) (2 11 13) (3 6)(8 10 12), (ii) (3 4) (5 9) (6 14) (7 10 11), (1 14) (2 4 8)(5 10)(6 7).
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