Category:Index of Subgroups
Let $G$ be a group.
Let $H$ be a subgroup of $G$.
If $G / H$ is a finite set, then $\index G H$ is finite, and $H$ is of finite index in $G$.
If $G / H$ is an infinite set, then $\index G H$ is infinite, and $H$ is of infinite index in $G$.
This category has the following 3 subcategories, out of 3 total.
Pages in category "Index of Subgroups"
The following 8 pages are in this category, out of 8 total.