## A fact on the interaction of subgroups with subgroups of prime index

Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 3.3 Exercise 3.3.3 Let $G$ be a group, $N \leq G$ a normal subgroup of prime index $p$, and…

Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 3.3 Exercise 3.3.3 Let $G$ be a group, $N \leq G$ a normal subgroup of prime index $p$, and…