On a class of point-reflection geometries

Herbert Hotje; Mario Marchi; Silvia Pianta

doi:10.1016/0012-365X(92)00508-O

On a class of point-reflection geometries

Herbert Hotje, Mario Marchi, Silvia Pianta

Università Cattolica del Sacro Cuore

Leibniz University Hannover

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

9 Citazioni (Scopus)

Abstract

Manara and Marchi have recently given a system of axioms for point-reflection geometries. In this note classes of kinematic spaces are considered in which such reflection geometries can be found. It will be shown that with an additional axiom they can be described by the core in the sense of Bruck (1971) of commutative kinematic spaces without involutory elements. © 1994.

Lingua originale	English
pagine (da-a)	139-147
Numero di pagine	9
Rivista	Discrete Mathematics
Volume	129
DOI	https://doi.org/10.1016/0012-365X(92)00508-O
Stato di pubblicazione	Pubblicato - 1994

Keywords

point-reflection, symmetry, quasi-group, incidence geometry

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10.1016/0012-365X(92)00508-O

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abstract = "Manara and Marchi have recently given a system of axioms for point-reflection geometries. In this note classes of kinematic spaces are considered in which such reflection geometries can be found. It will be shown that with an additional axiom they can be described by the core in the sense of Bruck (1971) of commutative kinematic spaces without involutory elements. {\textcopyright} 1994.",

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AU - Pianta, Silvia

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AB - Manara and Marchi have recently given a system of axioms for point-reflection geometries. In this note classes of kinematic spaces are considered in which such reflection geometries can be found. It will be shown that with an additional axiom they can be described by the core in the sense of Bruck (1971) of commutative kinematic spaces without involutory elements. © 1994.

KW - point-reflection, symmetry, quasi-group, incidence geometry

UR - http://hdl.handle.net/10807/129203

U2 - 10.1016/0012-365X(92)00508-O

DO - 10.1016/0012-365X(92)00508-O

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JO - Discrete Mathematics

JF - Discrete Mathematics

ER -

On a class of point-reflection geometries

Abstract

Keywords

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