As I asked in previous question, I am very curious about applying Group theory. Still I have doubts about how I can apply group theory. I know about formal definitions and I can able to solve and prove problems related to Group theory.
But when comes to applications, I don't know where to start.
I surfed the net, and I can get these links....
Those explanations are really good. But the real problem I face is, all applications are of theoretical explanations, without a solved example which a beginner like me can understand.
When I went to Wikipedia, I learned about the solution of the Rubik's cube in at most 20 steps posted in http://cube20.org/
What I can understand?
Turning a cube upside down, it will still take the same number of moves to solve.(Symmetrical property).
Where I need assistance?
An example of showing how this symmetrical property of group theory works here.
So, if someone could give an example of how group theory is applied (in this or some other instance) it will be useful to me....