definition of left or right translation of map from group by element
Topics
About: group
The table of contents of this article
Starting Context
- The reader knows a definition of group.
- The reader knows a definition of map.
Target Context
- The reader will have a definition of left or right translation of map from group by element.
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:
\( G\): \(\in \{\text{ the groups }\}\)
\( S\): \(\in \{\text{ the sets }\}\)
\( f\): \(: G \to S\)
\( g\): \(\in G\)
\(*_gf\): \(: G \to S, g' \mapsto f (g^{-1} g')\)
\(*f_g\): \(: G \to S, g' \mapsto f (g' g^{-1})\)
//
Conditions:
//
