definition of free group right action
Topics
About: group
The table of contents of this article
Starting Context
- The reader knows a definition of stabilizer of point with respect to group right action.
Target Context
- The reader will have a definition of free group right 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:
\( G\): \(\in \{\text{ the groups }\}\)
\( S\): \(\in \{\text{ the sets }\}\)
\(*f\): \(: S \times G \to S\), \(\in \{\text{ the group right actions }\}\)
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Conditions:
\(\forall s \in S (G_s = \{1\})\)
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