–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 “followed
by”, which we will designate as F.
–•Make a Cayley Table to show the
results of each command followed
by other commands.
–•Prove that the “Parade Group”
really is a group. That is, show that the
group axioms hold for the four commands and the operationF“followed by”.