The permutations p = (3 5 4), q= (1 5 2 3) and r = (1 5 2) are elements of S5. pal, m. (a) Find each of the following as a permutation in cycle form: wold wode of poq, poqop-¹, q². (b) State the order and parity of each of po q and q². (c) Determine, in cycle form, two permutations in S5 that conjugate p to r.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The permutations p = (3 5 4), q = (1 5 2 3) and r = (1 5 2) are
elements of S5.
(a) Find each of the following as a permutation in cycle form:
wold wode ei doang
poq,
poqop-¹, q².
(b) State the order and parity of each of po q and q².
(c) Determine, in cycle form, two permutations in S5 that conjugate p
to r.
Transcribed Image Text:The permutations p = (3 5 4), q = (1 5 2 3) and r = (1 5 2) are elements of S5. (a) Find each of the following as a permutation in cycle form: wold wode ei doang poq, poqop-¹, q². (b) State the order and parity of each of po q and q². (c) Determine, in cycle form, two permutations in S5 that conjugate p to r.
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