Question: Understanding the functionality of groups, cyclic groups and subgroups is important for the use of public - key cryptosystems based on the discrete logarithm problem.

Understanding the functionality of groups, cyclic groups and subgroups is important for the use of public-key cryptosystems based on the discrete logarithm problem. Thats why we are going to practice some arithmetic in such structures in this set of problems. Lets start with an easy one.
Determine the order of all elements of the multiplicative groups of:
a. Z*5
b. Z7
c. Z13

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