Rubik's cube ALGORITHMS and theory

-LIST OF ALGORITHMS-

1) Fi U Li Ui (right place face wrong side - first layer edge)

2) Ri Di R D (repeat six times then the cube will return to its original position)
also for resolve RIGHT side corner piece for the first layer.

3) U R Ui Ri Ui Fi U F (Middle layer - go right)

4) Ui Li U L U F Ui Fi (Middle layer - go left)

5) F R U Ri Ui Fi (L on the up left hand of the face than use this to turn L to 1)

6) R U Ri U R U U Ri (when cross is formed on the last layer. color match one directly opposite me and one on the right side then use this)

7) U R Ui Li U Ri Ui L (Hold the correct corner on the bottom right then do this. Should not be more than twice.)

8) Ri Di R D (to solve piece on the bottom right corner and do this

-Theory-
commutator - http://www.ryanheise.com/cube/commutators.html
group theory - http://en.wikipedia.org/wiki/Group_theory
http://www.youtube.com/watch?v=7yZoDi_B1lI