M May Day New member Joined Sep 23, 2009 Messages 4 Sep 25, 2009 #1 Let G be the group of symmetries of the square. Prove that g to the power 4 = 1, for every g belong to G. could anyone give the process to show why it is equal to 1
Let G be the group of symmetries of the square. Prove that g to the power 4 = 1, for every g belong to G. could anyone give the process to show why it is equal to 1
D daon Senior Member Joined Jan 27, 2006 Messages 1,284 Sep 25, 2009 #2 The first thing you should think about is what is the element 1 in G? G is made up of rotations by an equivilance class of certain angles (what are they?) and vertical and horizontal flips.
The first thing you should think about is what is the element 1 in G? G is made up of rotations by an equivilance class of certain angles (what are they?) and vertical and horizontal flips.