Translation Planes
Foundations and Construction Principles
Seiten
1995
Springer Berlin (Verlag)
978-3-540-60208-8 (ISBN)
Springer Berlin (Verlag)
978-3-540-60208-8 (ISBN)
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.
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.
Foundations.- Spreads of 3-dimensional projective spaces.- Kinematic spaces.- Examples and supplements.- Locally compact 4-dimensional translation planes.- Planes of Lenz type V with complex kernel.- Locally compact translation planes of higher dimension.
Erscheint lt. Verlag | 18.9.1995 |
---|---|
Reihe/Serie | Lecture Notes in Mathematics |
Zusatzinfo | VI, 122 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 205 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
Schlagworte | classification • Construction • Field • Finite • Geometry • Incidence geometry • Kernel • kinematic space • translation plane • Vector Space |
ISBN-10 | 3-540-60208-9 / 3540602089 |
ISBN-13 | 978-3-540-60208-8 / 9783540602088 |
Zustand | Neuware |
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