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Translation planes: foundations and construction principles

The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the bas...

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Detalles Bibliográficos
Autor principal: Knarr, Norbert
Lenguaje:eng
Publicado: Springer 1995
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0096310
http://cds.cern.ch/record/1691391
Descripción
Sumario:The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes. The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.