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Groups of rotationally symmetric permutations and magic mazes

  • Mathematik in Forschung und Anwendung
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Abstract

A Japanese company sells a magic trick with an interesting mathematical background. Commuting families of “symmetric” permutations play a central role. Our main result states that there are essentially as many such tricks as there are abelian finite groups.

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References

  1. Behrends, E.: Das “Magic Maze” von Tenyo. Magie 11. Zeitschrift des Magischen Zirkels von Deutschland, 552–553 (2018)

  2. Behrends, E.: Zauberhafte Irrgärten und kommutative Gruppen von Permutationen. Mitteilungen 1/19 der Deutschen Mathematikervereinigung , 175–178 (2019)

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Authors and Affiliations

  1. Mathematisches Institut, Freie Universität Berlin, Arnimallee 6, 14195, Berlin, Germany

    Ehrhard Behrends

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  1. Ehrhard Behrends
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Correspondence to Ehrhard Behrends.

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Behrends, E. Groups of rotationally symmetric permutations and magic mazes. Math Semesterber 66, 157–164 (2019). https://doi.org/10.1007/s00591-019-00258-z

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  • DOI: https://doi.org/10.1007/s00591-019-00258-z

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