Let n = 13 and let o € S13 be defined by o(1) 12, o (2) = 13, o (3) = 3, σ (6) = 9, o (7) = 5, o(11) = 7, o(12) = 8, = o (8) = 10, o (13) = 2. o(4) = 1, σ (9) = 6, o (5) = 11, o (10) = 4,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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This is from an abstract algebra course, How is the order of the first one 4 and the other infinite? If able please show how to calculate the order, whats the difference between the two? thank you in advance.

Let n = 13 and let o E S₁3 be defined by
o(1) = 12,
o (2) = 13,
o (3) = 3,
o (7) = 5,
0 (8) = 10,
σ (6) = 9,
o(11) = 7,
o(12) = 8,
o (13) = 2.
o (4) = 1,
=
= 6,
σ(9)
o (5) = 11,
o (10) = 4,
Transcribed Image Text:Let n = 13 and let o E S₁3 be defined by o(1) = 12, o (2) = 13, o (3) = 3, o (7) = 5, 0 (8) = 10, σ (6) = 9, o(11) = 7, o(12) = 8, o (13) = 2. o (4) = 1, = = 6, σ(9) o (5) = 11, o (10) = 4,
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