Author: Mauro Biliotti
Publisher: CRC Press
ISBN: 9780824706098
Category : Mathematics
Languages : en
Pages : 570
Get Book Here
Book Description
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 techniques for the construction of new planes.
Author: Mauro Biliotti
Publisher: CRC Press
ISBN: 1482271001
Category : Mathematics
Languages : en
Pages : 558
Get Book Here
Book Description
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 str
Author: Norbert Knarr
Publisher: Springer
ISBN: 3540447245
Category : Mathematics
Languages : en
Pages : 120
Get Book Here
Book Description
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.
Author: Norman Johnson
Publisher: CRC Press
ISBN: 1420011146
Category : Mathematics
Languages : en
Pages : 884
Get Book Here
Book Description
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 Andre to coordi
Author: Norman L. Johnson
Publisher: CRC Press
ISBN: 1000883817
Category : Mathematics
Languages : en
Pages : 372
Get Book Here
Book Description
Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms). Like its predecessors, this book will primarily deal with connections to the theory of derivable nets and translation planes in both the finite and infinite cases. Translation planes over non-commutative skewfields have not traditionally had a significant representation in incidence geometry, and derivable nets over skewfields have only been marginally understood. Both are deeply examined in this volume, while ideas of non-commutative algebra are also described in detail, with all the necessary background given a geometric treatment. The book builds upon over twenty years of work concerning combinatorial geometry, charted across four previous books and is suitable as a reference text for graduate students and researchers. It contains a variety of new ideas and generalizations of established work in finite affine geometry and is replete with examples and applications.
Author: Johnson
Publisher: CRC Press
ISBN: 9780824710521
Category : Mathematics
Languages : en
Pages : 476
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 486
Get Book Here
Book Description
Author: Norbert Knarr
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 132
Get Book Here
Book Description
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.
Author: Bruce Cooperstein
Publisher: American Mathematical Soc.
ISBN: 0821814400
Category : Mathematics
Languages : en
Pages : 654
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1102
Get Book Here
Book Description
