788: Order of Element of Group

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definition of order of element of group

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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 subgroup generated by subset of group.

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Target Context

• The reader will have a definition of order of element of group.

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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:
$G^{\prime }$: $\in \{\text{ the groups }\}$
$g$: $\in G^{\prime }$
$\ast |(\{g\})|$: $\in \mathbb{N}\setminus \{0\}$
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Conditions:
//

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2: Natural Language Description

For any group, $G^{\prime }$, and any element, $g\in G^{\prime }$, $|(\{g\})|\in \mathbb{N}\setminus \{0\}$

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References

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