Kainberger P. Using Group Theory for Solving Rubik’s Cube

Bachelor Thesis. — Linz: Johannes Kepler University, 2018. — 38 p.We consider Rubik’s Cube mathematically using algebraic group theory. We will see that the 6 possible rotations on the cube generate a group. With the help of the computer algebra software GAP, we will be able to calculate a guidance to solve the combination puzzle without using any solving techniques made for humans. Finally, we want to compare the quality of GAP’s solutions with those of a beginner’s algorithm for humans.