Question

What is the order
of subgroups of
Z100.​

Answer 1

Answer:

Z100 is a cyclic group of order 100. Since it is cyclic, it has a unique subgroup of order k for each k dividing 100. Any element of order 4, generates a subgroup of order 4. Therefore, all of the elements of order 4 must live in the unique subgroup of order 4.

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