Definition:Group Endomorphism

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Let $\struct {G, \circ}$ be a group.

Let $\phi: G \to G$ be a (group) homomorphism from $G$ to itself.

Then $\phi$ is a group endomorphism.

Also see

  • Results about group endomorphisms can be found here.

Linguistic Note

The word endomorphism derives from the Greek morphe (μορφή) meaning form or structure, with the prefix endo- (from ἔνδον') meaning inner or internal.

Thus endomorphism means internal structure.