Fixed points



next up previous contents
Next: Examples Up: Actions Previous: Stabilizers

Fixed points

The last one of the fundamental concepts induced by an action of on is that of fixed points    . A point is said to be fixed under if and only if , and the set of all the fixed points of is indicated by

More generally, for any subset , we put

The particular case is called the set of invariants  .



Herr Fripertinger
Sun Feb 05 18:28:26 MET 1995