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Möbius' theorem and commutativity

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Abstract

A modified theorem of Möbius (see [1]) is considered. Its equivalence to the commutativity of the basic field of the projective space is proved.

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References

  1. Coxeterh, S. M., Introduction to Geometry, New York-London 1962 (p. 258).

  2. Witczyńskik, Some Remarks on the Theorem of Mobius, J. of Geometry 51 (1994)

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Authors and Affiliations

  1. Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-661, Warsaw, Poland

    Krzysztof Witczyński

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  1. Krzysztof Witczyński
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Witczyński, K. Möbius' theorem and commutativity. J Geom 59, 182–183 (1997). https://doi.org/10.1007/BF01229575

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  • DOI: https://doi.org/10.1007/BF01229575

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