1.6.59 Fields, Groups, Rings

Condition: indicate all points of the plane \ (\ mathbb {r}^{2} \), having a non-trivial stabilizer when the group of symmetries of the correct \ (n \) is the zakolnik and find the stabilizer of these points. Find all the orbits of this action. Indication. Find out what a group of symmetries of the correct \ (n- \) square is.