A class of fibered loops related to general hyperbolic planes

Silvia Pianta; Helmut Karzel; Stefano Pasotti

doi:10.1007/s00010-012-0164-8

A class of fibered loops related to general hyperbolic planes

Silvia Pianta, Helmut Karzel, Stefano Pasotti

Università Cattolica del Sacro Cuore

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	31-42
Number of pages	12
Journal	Aequationes Mathematicae
DOIs	https://doi.org/10.1007/s00010-012-0164-8
Publication status	Published - 2014

Keywords

fibered loop
hyperbolic plane
left conjugacy closed loop
limit rotation

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10.1007/s00010-012-0164-8

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title = "A class of fibered loops related to general hyperbolic planes",

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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AU - Pianta, Silvia

AU - Karzel, Helmut

AU - Pasotti, Stefano

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AB - 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.

KW - fibered loop

KW - hyperbolic plane

KW - left conjugacy closed loop

KW - limit rotation

KW - fibered loop

KW - hyperbolic plane

KW - left conjugacy closed loop

KW - limit rotation

UR - http://hdl.handle.net/10807/66491

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DO - 10.1007/s00010-012-0164-8

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JO - Aequationes Mathematicae

JF - Aequationes Mathematicae

ER -

A class of fibered loops related to general hyperbolic planes

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Keywords

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