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).

The order of an element of Sn is the least common multiple of the size of its cycles.(i) (1 5 7…

Answered: Find the orders of the following…

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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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).