Regular parallelisms in kinematic spaces

Here we propose a definition of regular parallelism in a linear space not necessarily embedded onto a projective space and we investigate its properties in the particular case of kinematic spaces. We prove that the kinematic parallelisms are always regular in that sense and we deduce some results on...

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Bibliographic Details
Published in:	Discrete mathematics Vol. 310; no. 22; pp. 3120 - 3125
Main Author:	Pasotti, Stefano
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Kidlington Elsevier B.V 28-11-2010 Elsevier
Subjects:	Algebra Combinatorics Combinatorics. Ordered structures Exact sciences and technology Functional analysis Geometry Kinematic spaces Kinematics Linear spaces Mathematical analysis Mathematics Regular parallelism Sciences and techniques of general use Translations Kinematic spaces Linear spaces Regular parallelism Translation Kinematics Discrete mathematics Parallelism Kinematic space Combinatorics Linear space
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Summary:	Here we propose a definition of regular parallelism in a linear space not necessarily embedded onto a projective space and we investigate its properties in the particular case of kinematic spaces. We prove that the kinematic parallelisms are always regular in that sense and we deduce some results on the group of translations acting transitively on the pointset.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0012-365X 1872-681X
DOI:	10.1016/j.disc.2009.06.011