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.

Pianta, S., Karzel, H., Pasotti, S., A class of fibered loops related to general hyperbolic planes, <<AEQUATIONES MATHEMATICAE>>, 2014; (87): 31-42. [doi:10.1007/s00010-012-0164-8] [http://hdl.handle.net/10807/66491]

A class of fibered loops related to general hyperbolic planes

Pianta, Silvia;Karzel, Helmut;Pasotti, Stefano
2014

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.
Inglese
Pianta, S., Karzel, H., Pasotti, S., A class of fibered loops related to general hyperbolic planes, <<AEQUATIONES MATHEMATICAE>>, 2014; (87): 31-42. [doi:10.1007/s00010-012-0164-8] [http://hdl.handle.net/10807/66491]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/66491
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