Question

Find all the subgroups of a cyclic group of order 12

Answer 1

Number of generators in cyclic group=number of elements less than n and coprime to n (where n is the order of the cyclic )

So generaters of the cyclic group of order 12=4 (because there are only 4 elements which are less than 12 and coprime to 12 . These element are 1,5,7&11)

Answer 2

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