Commutators in the Rubik’s Cube Group

DOI10.1080/00029890.2023.2263158zbMath1530.20005OpenAlexW4387805420MaRDI QIDQ6144629

Timothy Sun

Publication date: 8 January 2024

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2023.2263158

Mathematics Subject Classification ID

Commutator calculus (20F12) General theory for finite permutation groups (20B05)

Cites Work

• Commutators and commutator subgroups
• Representation of permutations as products of two cycles
• Even permutations as a product of two conjugate cycles
• Commutators and the Commutator Subgroup
• On Cyclic Commutator Subgroups
• Some Remarks on Commutators
• The Diameter of the Rubik's Cube Group Is Twenty
• Powers of cycle-classes in symmetric groups

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