canonical projection

Given a group G and a normal subgroupMathworldPlanetmath NG there is an epimorphismMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath


defined by sending an element gG to its coset gN. The epimorphism π is referred to as the canonical projection.

Title canonical projection
Canonical name CanonicalProjection
Date of creation 2013-03-22 13:24:26
Last modified on 2013-03-22 13:24:26
Owner Dr_Absentius (537)
Last modified by Dr_Absentius (537)
Numerical id 8
Author Dr_Absentius (537)
Entry type Definition
Classification msc 20-00
Defines canonical projection