Journal of Integrative Natural Science (통합자연과학논문집)

The Basic Science Institute Chosun University (조선대학교 기초과학연구원)
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Symmetric Group of Rubik's Cube with Oriented Face

  • Received : 2020.11.25
  • Accepted : 2020.12.11
  • Published : 2020.12.31
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Abstract

We studied the structure of symmetric group of rubik's cube with oriented face. In conclusion, we have shown that the symmetric group of rubik's cube with oriented face is isomorphic to C46 / 2 × (C37 ≀ S8) × (C210 ≀ S12).

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Acknowledgement

This study was supported by research fund from Chosun University, 2020.

References

  1. Brandleow, Christoph. Inside the Rubik's Cube and Beyond. Birkhauser (1982).12, 17, 19, 23.
  2. L.Daniels Group Theory and the Rubik's Cube http://math.fon.rs/filesiDanielsProject58.pdf
  3. Richard Wong. The Group Structure of the Rubik's Cube. https:llweb.ma.utexas.eduiusers/richard.wong/expository/RubiksCubeGroup.pdf