Solution Found!
Suppose that are cyclic groups of orders 6, 8, and 20,
Chapter 4, Problem 2E(choose chapter or problem)
QUESTION:
Problem 2E
Suppose that are cyclic groups of orders 6, 8, and 20, respectively. Find all generators of .
Questions & Answers
QUESTION:
Problem 2E
Suppose that are cyclic groups of orders 6, 8, and 20, respectively. Find all generators of .
ANSWER:
Step 1 of 3
It is known that for , then only if and vice versa.
Now, elements of will be of the form .
So, we can say only if . Thus, . So the generators of will come out to be .