definition of orbit of point w.r.t. group left action
Topics
About: group
The table of contents of this article
Starting Context
- The reader knows a definition of group left action.
Target Context
- The reader will have a definition of orbit of point with respect to group left action.
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:
\( G\): \(\in \{\text{ the groups }\}\)
\( S\): \(\in \{\text{ the sets }\}\)
\( f\): \(: G \times S \to S\), \(\in \{\text{ the group left actions }\}\)
\( s\): \(\in S\)
\(*G (s)\): \(= f (G \times \{s\})\)
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Conditions:
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