definition of conjugation for group by element
Topics
About: group
The table of contents of this article
- Starting Context
- Target Context
- Orientation
- Main Body
- 1: Structured Description
- 2: Natural Language Description
Starting Context
- The reader knows a definition of group.
Target Context
- The reader will have a definition of conjugation for group by element.
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:
\( G\): \(\in \{\text{ the groups }\}\)
\( p\): \(\in G\)
\(*f_p\): \(: G \to G, p' \mapsto p p' p^{-1}\)
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Conditions:
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2: Natural Language Description
For any group, \(G\), and any element, \(p \in G\), the map, \(f_p: G \to G, p' \mapsto p p' p^{-1}\)
