Please Login to access more options.
Problem (The Intersection Of Any Nonempty Collection Of Subgroups Is A Subgroup)
Let $G$ be a group. Suppose that we have a nonempty collection $\mathscr{B}$ of subgroups of $G$. Prove that the intersection of this collection of subgroups of $G$ is a subgroup of $G$. Symbolically, we can write this as $\ds\bigcap_{H\in \mathscr{B}}H$ is a subgroup of $G$.
The following pages link to this page.