List all the elements of the cyclic subgroup of U(15) generated by 8. 2. Which of the following subgroups of Z27 has order 3? А. (3) В. (9) C (6) D (12)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Pls answer 1 to 3

1.
List all the elements of the cyclic subgroup of U(15) generated by 8.
2.
Which of the following subgroups of Z27 has order 3?
В. (9)
А. (3)
С. (6)
D. (12)
3.
Which of the following subsets of complex numbers is not a subgroup of the group C of
complex numbers under addition?
A. R
B. Q*
C. 7Z
D. the set iR of pure imaginary numbers including 0
Transcribed Image Text:1. List all the elements of the cyclic subgroup of U(15) generated by 8. 2. Which of the following subgroups of Z27 has order 3? В. (9) А. (3) С. (6) D. (12) 3. Which of the following subsets of complex numbers is not a subgroup of the group C of complex numbers under addition? A. R B. Q* C. 7Z D. the set iR of pure imaginary numbers including 0
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