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

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

4 Citazioni (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.

Lingua originale	English
pagine (da-a)	31-42
Numero di pagine	12
Rivista	Aequationes Mathematicae
DOI	https://doi.org/10.1007/s00010-012-0164-8
Stato di pubblicazione	Pubblicato - 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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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.

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KW - hyperbolic plane

KW - left conjugacy closed loop

KW - limit rotation

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KW - hyperbolic plane

KW - left conjugacy closed loop

KW - limit rotation

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A class of fibered loops related to general hyperbolic planes

Abstract

Keywords

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