## If a group has a unique subgroup of a given order, then that subgroup is normal

Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 3.2 Exercise 3.2.5 Let $G$ be a group, $H$ a subgroup of $G$, and fix $g \in G$. (1)…

Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 3.2 Exercise 3.2.5 Let $G$ be a group, $H$ a subgroup of $G$, and fix $g \in G$. (1)…