A class of fibered loops related to general hyperbolic planes

作者：Karzel Helmut^*; Pianta Silvia; Pasotti Stefano

来源：Aequationes Mathematicae, 2014, 87(1-2): 31-42.

DOI：10.1007/s00010-012-0164-8

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.

• 出版日期2014-3