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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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