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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

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References

Bibliography

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