Egor Urvanov

Generators of a group

Groups, moves and rules · the basic moves

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A small set of moves from which chains produce all other moves of the group. In the game “step and lift” there are two: the step x and the lift t, and the lift down is written t⁻¹. For a Rubik’s Cube the generators are the turns of the six faces.

Source: Wikipedia: Generating set of a group

Read more: How many rules does a game need: a step and a lift

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