696: Conjugation for Group by Element

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definition of conjugation for group by element

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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
• 2: Natural Language Description

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Starting Context

• The reader knows a definition of group.

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Target Context

• The reader will have a definition of conjugation for group by element.

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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:
$G$: $\in \{\text{ the groups }\}$
$p$: $\in G$
$\ast f_p$: $:G\to G,p^{\prime }\mapsto p{p}^{\prime }{p}^{-1}$
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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, $f_p:G\to G,p^{\prime }\mapsto p{p}^{\prime }{p}^{-1}$

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References

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