21. Suppose G G for each value of n and list all the distinct generators of G. (a) is a cyclic group of order n. Determine the number of generators of a.n = 8 b. n = 14 с. п 3 18 d. n = 24 e. n = 7 f. n = 13 22. List all the distinct subgroups of each group in Exercise 21. Tham 3.29

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21. Suppose G = (a) is a cyclic group of order n. Determine the number of generators of
G for each value of n and list all the distinct generators of G.
a! n
= 8
b. n = 14
The
с. п 3D 18
d. n
24
e. n = 7
22, List all the distinct subgroups of each group in Exercise 21.
f. n = 13
%3D
3.29
Transcribed Image Text:21. Suppose G = (a) is a cyclic group of order n. Determine the number of generators of G for each value of n and list all the distinct generators of G. a! n = 8 b. n = 14 The с. п 3D 18 d. n 24 e. n = 7 22, List all the distinct subgroups of each group in Exercise 21. f. n = 13 %3D 3.29
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