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The Reflection Structures of Generalized Co-Minkowski Spaces Leading to K-Loops

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Abstract

We extend the notion co- Minkowski plane to “unitary co- Minkowski space” (P, G, ∼) and discuss the problem whether there are subsets Q of P which can be turned into a geometric K- loop.

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References

  1. E. Gabrieli and H. Karzel: Point-reflection geometries, geometric K-loops and unitary geometries. Submitted to Results in Mathematics (1997).

  2. L.Giuzzi, H.Karzel and S.Pianta: Co-Minkowski spaces their reflection structures and K-loops. To appear.

  3. H. Karzel: Kinematic spaces. Ist naz. Alta Matematica 11, (1973), 413–439.

    MathSciNet  MATH  Google Scholar 

  4. H. Karzel: Porous double spaces. J. of Geometry 34, (1989), 80–104.

    Article  MathSciNet  MATH  Google Scholar 

  5. H. KarzeL: Recent developments on absolute geometries and algebraization by K-loops. Submitted to Discrete Mathematics. (1996).

  6. H. Struve and R. Struve: Endliche Cayley-Kleinsche Geometrien. Arch. Math. 48, (1987), 178–184.

    Article  MathSciNet  MATH  Google Scholar 

  7. H. Struve and R. Struve: Zum Begriff der projektiv-metrischen Ebene. Zeitschr. f. math. Logik und Grundlagen d. Math. 34, (1988), 79–88.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Elisabetta Gabrieli.

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In memory of HANS ZASSENHAUS on the occasion of his 85th birthday

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Gabrieli, E., Karzel, H. The Reflection Structures of Generalized Co-Minkowski Spaces Leading to K-Loops. Results. Math. 32, 73–79 (1997). https://doi.org/10.1007/BF03322526

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  • DOI: https://doi.org/10.1007/BF03322526

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