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[parent] canonical projection (Definition)

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

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



"canonical projection" is owned by Dr_Absentius.
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Cross-references: coset, epimorphism, normal subgroup, group
There are 11 references to this entry.

This is version 5 of canonical projection, born on 2003-01-31, modified 2004-01-23.
Object id is 3950, canonical name is CanonicalProjection.
Accessed 4922 times total.

Classification:
AMS MSC: 20-00 (Group theory and generalizations :: General reference works )
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Is this the right place? by Dr_Absentius on 2003-01-31 13:14:50
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.
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