◀ ▲ ▶Branches / Algebra / Definition: Group Homomorphism

Definition: Group Homomorphism

A homomorphism $f:G\rightarrow H$ is called a group homomorphism, if $(G,\ast)$ and $(H,\cdot)$ are two groups.

Table of Contents

Examples: 1 2 3

1. Proposition: Properties of a Group Homomorphism
2. Lemma: Kernel and Image of Group Homomorphism
3. Lemma: Kernel and Image of a Group Homomorphism are Subgroups

Mentioned in:

Examples: 1
Explanations: 2
Lemmas: 3 4 5
Proofs: 6 7 8 9 10 11
Propositions: 12 13
Theorems: 14

Thank you to the contributors under CC BY-SA 4.0!

Github:

References

Bibliography

1. Modler, Florian; Kreh, Martin: "Tutorium Algebra", Springer Spektrum, 2013