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

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

9 Citations (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.

Original language	English
Pages (from-to)	139-147
Number of pages	9
Journal	Discrete Mathematics
Volume	129
DOIs	https://doi.org/10.1016/0012-365X(92)00508-O
Publication status	Published - 1994

Keywords

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

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

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title = "On a class of point-reflection geometries",

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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author = "Herbert Hotje and Mario Marchi and Silvia Pianta",

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AU - Hotje, Herbert

AU - Marchi, Mario

AU - Pianta, Silvia

PY - 1994

Y1 - 1994

N2 - 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.

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

M3 - Article

SN - 0012-365X

VL - 129

SP - 139

EP - 147

JO - Discrete Mathematics

JF - Discrete Mathematics

ER -

On a class of point-reflection geometries

Abstract

Keywords

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