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group homomorphism

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function between groups that preserves multiplication structure

Wikidata facts

Subclass of
homomorphism
Show 3 more facts
Commons category
Group homomorphisms
studied by
category theory
maintained by WikiProject
WikiProject Mathematics
Sources (1)

via Wikidata · CC0

~10 min read

Encyclopedic overview

Depiction of a group homomorphism (h) from G (left) to H (right). The oval inside H is the image of h. N is the kernel of h and aN is a coset of N.

Finite groups

Excerpted from Wikipedia’s “group homomorphism” article, available under the CC BY-SA 4.0 licence.