Exercise 5.3.2. Compute the order of each of the following elements in their respective groups. (1) e2ri/8 in Us (2) n in RX (3) (12 3)(4 5) in S5 (4) (r²,[1]4) in D21+1 × Z4 for n 1.

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Chapter2: Second-order Linear Odes
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Exercise 5.3.2. Compute the order of each of the following elements in their respective groups.
(1) e2ti/8 in Us
(2) n in RX
(3) (12 3)(4 5) in S5
(4) (r²,[1]4) in D21+1 × Z4 for n > 1.
Transcribed Image Text:Exercise 5.3.2. Compute the order of each of the following elements in their respective groups. (1) e2ti/8 in Us (2) n in RX (3) (12 3)(4 5) in S5 (4) (r²,[1]4) in D21+1 × Z4 for n > 1.
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