940: Kernel of Group Homomorphism

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definition of kernel of group homomorphism

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Topics

About: group

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Structured Description

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Starting Context

• The reader knows a definition of group.
• The reader knows a definition of %structure kind name% homomorphism.

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Target Context

• The reader will have a definition of kernel of group homomorphism.

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Orientation

There is a list of definitions discussed so far in this site.

There is a list of propositions discussed so far in this site.

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Main Body

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1: Structured Description

Here is the rules of Structured Description.

Entities:
$G_1$: $\in \{\text{ the groups }\}$
$G_2$: $\in \{\text{ the groups }\}$
$f$: $:G_1\to G_2$, $\in \{\text{ the group homomorphisms }\}$
$\ast Ker(f)$: $=f^{-1}(1)\subseteq G_1$
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Conditions:
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References

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