Examples of connections

Here is an example of a group. The
set of elements is the set containing
the four parade commands: left face (L), right face (R), about face (A), and stand as you were (S).
The operation is Òfollowed
byÓ, which we will designate as *F***. **

¥ Make a Cayley Table to show the
results of each command followed
by other commands.

¥ Prove that the ÒParade GroupÓ
really is a group. That is, show that the
group axioms hold for the four commands and the operation *F*
Òfollowed byÓ.