7. Find the orders of the following members of S16, and determine which pairs of them are conjugate: (i) (157 16)(2 11 13) (3 6) (8 10 12), (ii) (34) (59)(6 14) (7 10 11), (iii) (1 14)(2 4 8) (5 10) (6 7).

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 12OE
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7. Find the orders of the following members of S16, and determine which pairs of them are conjugate:
(i) (157 16)(2 11 13) (3 6) (8 10 12),
(ii) (34) (59)(6 14) (7 10 11),
(iii) (1 14)(2 4 8) (5 10) (6 7).
Transcribed Image Text:7. Find the orders of the following members of S16, and determine which pairs of them are conjugate: (i) (157 16)(2 11 13) (3 6) (8 10 12), (ii) (34) (59)(6 14) (7 10 11), (iii) (1 14)(2 4 8) (5 10) (6 7).
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