9.3: Reading Questions
Determine the order of \((1,2)\) in \({\mathbb Z_4}\times{\mathbb Z_8}\text{.}\)
List three properties of a group that are preserved by an isomorphism.
Find a group isomorphic to \(\mathbb Z_{15}\) that is an external direct product of two non-trivial groups.
Explain why we can now say “ the infinite cyclic group”?
Compare and contrast external direct products and internal direct products.