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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Bibliographic Details
Main Author: Knarr, Norbert
Format: Book
Language:English
Subjects:
Geometry
Mathematics
Mathematics and Statistics
Translation planes
Online Access:Get full text
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Summary: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.
ISSN:0075-8434
1617-9692
DOI:10.1007/BFb0096310