Category:Quotient Groups

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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 $N$.

Subcategories

This category has the following 5 subcategories, out of 5 total.

Pages in category "Quotient Groups"

The following 49 pages are in this category, out of 49 total.