Category:Quotient Groups

This category contains results about Quotient Groups.

Let $G$ be a group.

Let $N$ be a normal subgroup of $G$.

Then the left coset space $G / N$ is a group, where the group product is defined as:

$\paren {a N} \paren {b N} = \paren {a b} N$

$G / N$ is called the quotient group of $G$ by $N$.