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 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 "Definitions/Quotient Groups"
The following 4 pages are in this category, out of 4 total.