An element a of the permutation group S9 is given as follows: 1 2 3 4 5 6 7 8 9 3 5 7 1 9 8 4 6 2 a = (1). [ot Write a as a product of disjoint cycles. (2). E Find a30 expressed in the form of disjoint cycles.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4.
An element a of the permutation group S9 is given as follows:
1 2 3 4 5 6 7 8 9
3 5 7 1 9 8 4 6 2
(1). [s Write a as a product of disjoint cycles.
(2). E Find a0 expressed in the form of disjoint cycles.
1
Text
(3).
Determine whether a E A9.
(4).
Another permutation B E S9 is given as follows:
B = (1238)(17659)(1924).
Find a-'B2.
Transcribed Image Text:4. An element a of the permutation group S9 is given as follows: 1 2 3 4 5 6 7 8 9 3 5 7 1 9 8 4 6 2 (1). [s Write a as a product of disjoint cycles. (2). E Find a0 expressed in the form of disjoint cycles. 1 Text (3). Determine whether a E A9. (4). Another permutation B E S9 is given as follows: B = (1238)(17659)(1924). Find a-'B2.
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