Group Kernel

The kernel of a group homomorphism f:G-->G^' is the set of all elements of G which are mapped to the identity element of G^'. The kernel is a normal subgroup of G, and always contains the identity element of G. It is reduced to the identity element iff f is injective.

See also

This entry contributed by Margherita Barile

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Barile, Margherita. "Group Kernel." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/GroupKernel.html

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