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A class of fibered loops related to general hyperbolic planes

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Abstract

In this paper we introduce a class of left conjugacy closed loops which are also fibered in subsemigroups. We inspect the possibility to extend the semigroups of the fibration to commutative subgroups. Then we construct an example of such loops arising from a suitable selected subset of the set of all limit rotations of the hyperbolic plane over an euclidean field.

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Authors and Affiliations

  1. Zentrum Mathematik, T.U. München, 80290, Munich, Germany

    Helmut Karzel

  2. Dip. di Matematica e Fisica, Università Cattolica, Via Trieste, 17, 25121, Brescia, Italy

    Silvia Pianta

  3. Dipartimento di Matematica, Facoltà di Ingegneria, Università degli Studi di Brescia, Via Valotti, 9, 25133, Brescia, Italy

    Stefano Pasotti

Authors
  1. Helmut Karzel
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  2. Silvia Pianta
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  3. Stefano Pasotti
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Correspondence to Silvia Pianta.

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Karzel, H., Pianta, S. & Pasotti, S. A class of fibered loops related to general hyperbolic planes. Aequat. Math. 87, 31–42 (2014). https://doi.org/10.1007/s00010-012-0164-8

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  • DOI: https://doi.org/10.1007/s00010-012-0164-8

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