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.
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