definition of kernel of group homomorphism
Topics
About: group
The table of contents of this article
Starting Context
- The reader knows a definition of group.
- The reader knows a definition of %structure kind name% homomorphism.
Target Context
- The reader will have a definition of kernel of group homomorphism.
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.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\( G_1\): \(\in \{\text{ the groups }\}\)
\( G_2\): \(\in \{\text{ the groups }\}\)
\( f\): \(: G_1 \to G_2\), \(\in \{\text{ the group homomorphisms }\}\)
\(*Ker (f)\): \(= f^{-1} (1) \subseteq G_1\)
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Conditions:
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