definition of order of element of group
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 subgroup generated by subset of group.
Target Context
- The reader will have a definition of order of element of group.
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:
\( G'\): \(\in \{\text{ the groups }\}\)
\( g\): \(\in G'\)
\(*\vert (\{g\}) \vert\): \(\in \mathbb{N} \setminus \{0\}\)
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Conditions:
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2: Natural Language Description
For any group, \(G'\), and any element, \(g \in G'\), \(\vert (\{g\}) \vert \in \mathbb{N} \setminus \{0\}\)
