we can find the different cycle types of S3 and classified the 6 permutations of S3 accordingly. Write down all the cycle types for S4 and find the cycle type for each of the 24 permutations of S4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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we can find the different cycle types of S3 and classified the 6 permutations of S3 accordingly. Write down all the cycle types for S4 and find the cycle type for each of the 24 permutations of S4

Result
n!
Sn has
'2*. na d,! dg! .. dn!
permutations of kype [i^ gt. nte ]
Example
5!
Ss has P'a!3! 1!
5!
2-s! [P2].
= lo permutations of bype
They
are
(12) (3) (4) (5), (13) (2) (4)(8), (14) (2)()(),
(15)(2)(3) (4), (23) (1) (4) (5), (24) (1) (a) (S),
(25) (1)(3) (4),
(34) (1) (2) (5), (35) (1) (2) (4),
(45) (1)(2) (3),
Transcribed Image Text:Result n! Sn has '2*. na d,! dg! .. dn! permutations of kype [i^ gt. nte ] Example 5! Ss has P'a!3! 1! 5! 2-s! [P2]. = lo permutations of bype They are (12) (3) (4) (5), (13) (2) (4)(8), (14) (2)()(), (15)(2)(3) (4), (23) (1) (4) (5), (24) (1) (a) (S), (25) (1)(3) (4), (34) (1) (2) (5), (35) (1) (2) (4), (45) (1)(2) (3),
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