# Category:Definitions/Quotient Groups

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This category contains definitions related to Quotient Groups.

Related results can be found in Category: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 operation is defined as:

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

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

## Pages in category "Definitions/Quotient Groups"

The following 2 pages are in this category, out of 2 total.