Translation Planes

Translation Planes

Author: Norbert Knarr

Publisher: Springer

ISBN: 9783540447245

Category: Mathematics

Page: 122

View: 546

Download Now
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.
Foundations of Translation Planes
Language: en
Pages: 570
Authors: Mauro Biliotti, Vikram Jha, Norman Johnson
Categories: Mathematics
Type: BOOK - Published: 2001-07-13 - Publisher: CRC Press

An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and
Handbook of Finite Translation Planes
Language: en
Pages: 888
Authors: Norman Johnson, Vikram Jha, Mauro Biliotti
Categories: Mathematics
Type: BOOK - Published: 2007-02-15 - Publisher: CRC Press

The Handbook of Finite Translation Planes provides a comprehensive listing of all translation planes derived from a fundamental construction technique, an explanation of the classes of translation planes using both descriptions and construction methods, and thorough sketches of the major relevant theorems. From the methods of André to coordinate and
Translation Planes
Language: en
Pages: 122
Authors: Norbert Knarr
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

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
Combinatorics of Spreads and Parallelisms
Language: en
Pages: 674
Authors: Norman Johnson
Categories: Mathematics
Type: BOOK - Published: 2010-06-03 - Publisher: CRC Press

Combinatorics of Spreads and Parallelisms covers all known finite and infinite parallelisms as well as the planes comprising them. It also presents a complete analysis of general spreads and partitions of vector spaces that provide groups enabling the construction of subgeometry partitions of projective spaces.The book describes general partitions
Finite Geometries
Language: en
Pages: 472
Authors: Johnson
Categories: Mathematics
Type: BOOK - Published: 1983-01-18 - Publisher: CRC Press

Books about Finite Geometries