Question: 1. Write down the elements of the following cyclic subgroups and find the order of the generating element. (a) (0) in Z20 (e) ( (134)

1. Write down the elements of the following cyclic subgroups and find the order of the generating element. (a) (0) in Z20 (e) ( (134) (26) ) in S6 (b) (14 ) in Z.20 (f) ( (2, m2) ) in Z3 X D4 (c) (15 ) in Z24 (g) (-2) in R under addition (d) ( (4, 12) ) in Z6 x Z16. (h) (-2) in R* under multiplication
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