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# canonical projection

Given a group $G$ and a normal subgroup $N\lhd G$ there is an epimorphism

$\pi\colon\thinspace G\to G/N$ |

defined by sending an element $g\in G$ to its coset $gN$. The epimorphism $\pi$ is referred to as the *canonical projection*.

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## Comments

## Is this the right place?

I defined canonical projection because I wanted to reffer to it but maybe the contents of this entry should be incorporated into the entry

about the quotient group. I am not sure how this would be done but I am

sure there is a way.