TL;DR
This paper demonstrates that the mathematical structure of the Rubik's cube group can be represented as a Galois group over the rational numbers, linking puzzle theory with algebraic number theory.
Contribution
It establishes a novel connection between the Rubik's cube group and Galois groups, providing a new perspective in algebraic structures related to puzzles.
Findings
Rubik's cube group is realizable as a Galois group over Q
Links puzzle groups with algebraic number theory
Provides a new algebraic interpretation of the Rubik's cube
Abstract
We prove that the Rubik's cube group can be realized as a Galois group over the rationals.
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Taxonomy
TopicsHistory and Theory of Mathematics