Group isomorphisms preserve the order of an element
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 1.6 Exercise 1.6.2 Let $G$ and $H$ be groups. If $\varphi : G \rightarrow H$ is an isomorphism, show…
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 1.6 Exercise 1.6.2 Let $G$ and $H$ be groups. If $\varphi : G \rightarrow H$ is an isomorphism, show…