Compute |U(4)|, |U(10)|, and |U(40)|. Do these groups provide a counterexample to your answer to Exercise 62? If so, revise your conjecture.
Reference:
Compute the orders of the following groups.
a. U(3), U(4), U(12)
b. U(5), U(7), U(35)
c. U(4), U(5), U(20)
d. U(3), U(5), U(15)
On the basis of your answers, make a conjecture about the relationship among |U(r)|, |U(s)|, and |U(rs)|.
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