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Lemma: Kernel and Image of a Group Homomorphism are Subgroups
Let \(f:(G,\ast)\mapsto (H,\cdot)\) a group homomorphism. Then it follows that
 The kernel \(\ker(f)\) is a subgroup of \(G\).
 The kernel \(\ker(f)\) is a subgroup of \(G\).
Table of Contents
Proofs: 1
Mentioned in:
Explanations: 1
Proofs: 2 3 4
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References
Bibliography
 Kramer Jürg, von Pippich, AnnaMaria: "Von den natürlichen Zahlen zu den Quaternionen", SpringerSpektrum, 2013