Category:Quotient Groups

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This category contains results about Quotient Groups.
Definitions specific to this category can be found in Definitions/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 the coset product:

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

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

Pages in category "Quotient Groups"

The following 42 pages are in this category, out of 42 total.