Solution Found!
Calculate the number of elements of order 2 in each of
Chapter 11, Problem 4E(choose chapter or problem)
QUESTION:
Calculate the number of elements of order 2 in each of \(Z_{16}, Z_8 \oplus Z_2, Z_4 \oplus Z_4\), and \(Z_4 \oplus Z_2 \oplus Z_2\). Do the same for the elements of order 4.
Questions & Answers
QUESTION:
Calculate the number of elements of order 2 in each of \(Z_{16}, Z_8 \oplus Z_2, Z_4 \oplus Z_4\), and \(Z_4 \oplus Z_2 \oplus Z_2\). Do the same for the elements of order 4.
ANSWER:Step 1 of 4
From cyclic group by the theorem 4.4 it is element of order.