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Math and science::Algebra::Aluffi

Groups. Kernel.

Kernel of a group homomorphism

Let \( \varphi : G \to G' \) be a group homomorphism from group \( G \) to group \( G' \). The kernel of \( \varphi \) is the set [what set? A description ].

The kernel of \( \varphi \) is denoted as \( \operatorname{ker} \varphi \).