Download or read book Subplane Covered Nets written by Norman L. Johnson and published by CRC Press. This book was released on 2000-01-03 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work confronts the question of geometric processes of derivation, specifically the derivation of affine planes - keying in on construction techniques and types of transformations in which lines of a newly-created plane can be understood as subplanes of the original plane. The book provides a theory of subplane covered nets without restriction

Download or read book Subplane Covered Nets written by Norman L. Johnson and published by CRC Press. This book was released on 2000-01-03 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work confronts the question of geometric processes of derivation, specifically the derivation of affine planes - keying in on construction techniques and types of transformations in which lines of a newly-created plane can be understood as subplanes of the original plane. The book provides a theory of subplane covered nets without restriction to the finite case or imposing commutativity conditions.

Download or read book On the Structure of Subplane Covered Nets written by Kwun-Shen Lin and published by . This book was released on 1993 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Subplane Covered Nets written by Norman Lloyd Johnson and published by . This book was released on 2000 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work confronts the question of geometric processes of derivation, specifically the derivation of affine planes - keying in on construction techniques and types of transformations in which lines of a newly-created plane can be understood as subplanes of the original plane. The book provides a theory of subplane covered nets without restriction to the finite case or imposing commutativity conditions.

Download or read book Geometry of Derivation with Applications written by Norman L. Johnson and published by CRC Press. This book was released on 2023-06-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Handbook of Finite Translation Planes written by Norman Johnson and published by CRC Press. This book was released on 2007-02-15 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Combinatorics of Spreads and Parallelisms written by Norman Johnson and published by CRC Press. This book was released on 2010-06-03 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book A Collection of Contributions in Honour of Jack van Lint written by P.J. Cameron and published by Elsevier. This book was released on 2016-06-06 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of contributions is offered to Jack van Lint on the occasion of his sixtieth birthday and appears simultaneously in the series Topics in Discrete Mathematics and as a special double volume of Discrete Mathematics (Volumes 106/107). It is hoped that the papers selected, all written by experts in their own fields, represent the many interesting areas that together constitute the discipline of Discrete Mathematics. It is in this sphere that van Lint has become the acknowledged master and this expansive volume serves to demonstrate the enormous significance he has had on the development of Discrete Mathematics during the last 30 years.

Download or read book Bulletin of the Belgian Mathematical Society Simon Stevin written by and published by . This book was released on 2002 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Foundations of Translation Planes written by Mauro Biliotti and published by CRC Press. This book was released on 2001-07-13 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Mostly Finite Geometries written by Norman Johnson and published by CRC Press. This book was released on 1997-05-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the proceedings of the conference held at the University of Iowa, in honour and celebration of the mathematician T.G. Ostrom's 80th birthday, this text focuses on finite geometries as well as topological geometries in the infinite case, some of which originate with ideas of finite geometric objects. It includes information about flocks of quadratic cones and related geometric and combinatorial structures.

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1994 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Groups and Geometries written by Lino Di Martino and published by Birkhäuser. This book was released on 2013-12-01 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: On September 1-7, 1996 a conference on Groups and Geometries took place in lovely Siena, Italy. It brought together experts and interested mathematicians from numerous countries. The scientific program centered around invited exposi tory lectures; there also were shorter research announcements, including talks by younger researchers. The conference concerned a broad range of topics in group theory and geometry, with emphasis on recent results and open problems. Special attention was drawn to the interplay between group-theoretic methods and geometric and combinatorial ones. Expanded versions of many of the talks appear in these Proceedings. This volume is intended to provide a stimulating collection of themes for a broad range of algebraists and geometers. Among those themes, represented within the conference or these Proceedings, are aspects of the following: 1. the classification of finite simple groups, 2. the structure and properties of groups of Lie type over finite and algebraically closed fields of finite characteristic, 3. buildings, and the geometry of projective and polar spaces, and 4. geometries of sporadic simple groups. We are grateful to the authors for their efforts in providing us with manuscripts in LaTeX. Barbara Priwitzer and Thomas Hintermann, Mathematics Editors of Birkhauser, have been very helpful and supportive throughout the preparation of this volume.

Download or read book Rendiconti di matematica e delle sue applicazioni written by Istituto nazionale di alta matematica (Italy) and published by . This book was released on 1994 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1993 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Translation Generalized Quadrangles written by Joseph Adolf Thas and published by World Scientific. This book was released on 2006 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translation generalized quadrangles play a key role in the theory of generalized quadrangles, comparable to the role of translation planes in the theory of projective and affine planes. The notion of translation generalized quadrangle is a local analogue of the more global OC Moufang ConditionOCO, a topic of great interest, also due to the classification of all Moufang polygons. Attention is thus paid to recent results in that direction, but also many of the most important results in the general theory of generalized quadrangles that appeared since 1984 are treated. Translation Generalized Quadrangles is essentially self-contained, as the reader is only expected to be familiar with some basic facts on finite generalized quadrangles. Proofs that are either too long or too technical are left out, or just sketched. The three standard works on generalized quadrangles are (co-)authored by the writers of this book: OC Finite Generalized QuadranglesOCO (1984) by S E Payne and J A Thas, OC Generalized PolygonsOCO (1998) by H Van Maldeghem, and OC Symmetry in Finite Generalized QuadranglesOCO (2004) by K Thas. Sample Chapter(s). Chapter 1: Generalized Quadrangles (127 KB). Contents: Generalized Quadrangles; Regularity, Antiregularity and 3-Regularity; Elation and Translation Generalized Quadrangles; Generalized Quadrangles and Flocks; Good Eggs; Generalized Quadrangles, Nets and the Axiom of Veblen; Ovoids and Subquadrangles; Translation Generalized Ovals; Moufang Sets and Translation Moufang Sets; Configurations of Translation Points; Moufang Quadrangles with a Translation Point; Translation Ovoids in Translation Quadrangles; Translation Generalized Quadrangles in Projective Space; Open Problems. Readership: Researchers in incidence geometry, combinatorics and finite geometries. Also suitable as a textbook for a graduate course.