Translation Planes: Foundations and Construction Principles

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Springer Berlin Heidelberg, Sep 18, 1995 - Mathematics - 122 pages
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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.

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Contents

Introduction
1
Spreads of 3dimensional Projective Spaces
25
Kinematic Spaces
40
Copyright

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