Find the order of each element in Z/10Z. Hence find all subgroups of Z/10Z. [Hint: everysubgroup of a cyclic group is cyclic.]
Question
Solution 1
Step 1: Identify the elements in Z/10Z Z/10Z is the set of equivalence classes of integers modulo 10. This means that Z/10Z = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.
Step 2: Find the order of each element The order of an element in a group is the smallest positive integer n such that a^n = e, where e is th Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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