Solution Found!
Compute the orders of the following groups.a. U(3), U(4),
Chapter 3, Problem 62E(choose chapter or problem)
QUESTION:
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)|.
Questions & Answers
QUESTION:
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)|.
ANSWER:Step 1 of 5
Note that the group is made up of positive integers with a value smaller than n and a prime relationship with n. The order of the group is determined by the number of elements in it.