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A Course On Elation Quadrangles
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Book Synopsis A Course on Elation Quadrangles by : Koen Thas
Download or read book A Course on Elation Quadrangles written by Koen Thas and published by European Mathematical Society. This book was released on 2012 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of elation generalized quadrangle is a natural generalization to the theory of generalized quadrangles of the important notion of translation planes in the theory of projective planes. Almost any known class of finite generalized quadrangles can be constructed from a suitable class of elation quadrangles. In this book the author considers several aspects of the theory of elation generalized quadrangles. Special attention is given to local Moufang conditions on the foundational level, exploring, for instance, Knarr's question from the 1990s concerning the very notion of elation quadrangles. All the known results on Kantor's prime power conjecture for finite elation quadrangles are gathered, some of them published here for the first time. The structural theory of elation quadrangles and their groups is heavily emphasized. Other related topics, such as $p$-modular cohomology, Heisenberg groups, and existence problems for certain translation nets, are briefly touched. This book starts from scratch and is essentially self-contained. Many alternative proofs are given for known theorems. This course contains dozens of exercises at various levels, from very easy to rather difficult, and will stimulate undergraduate and graduate students to enter the fascinating and rich world of elation quadrangles. More accomplished mathematicians will find the final chapters especially challenging.
Author :N.S. Narasimha Sastry Publisher :Springer Science & Business Media ISBN 13 :8132218140 Total Pages :311 pages Book Rating :4.1/5 (322 download)
Book Synopsis Groups of Exceptional Type, Coxeter Groups and Related Geometries by : N.S. Narasimha Sastry
Download or read book Groups of Exceptional Type, Coxeter Groups and Related Geometries written by N.S. Narasimha Sastry and published by Springer Science & Business Media. This book was released on 2014-04-02 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings. All contributing authors are very active researchers in the topics related to the theme of the book. Some of the articles provide the latest developments in the subject; some provide an overview of the current status of some important problems in this area; some survey an area highlighting the current developments; and some provide an exposition of an area to collect problems and conjectures. It is hoped that these articles would be helpful to a beginner to start independent research on any of these topics, as well as to an expert to know some of the latest developments or to consider some problems for investigation.
Book Synopsis Translation Generalized Quadrangles by : Joseph A Thas
Download or read book Translation Generalized Quadrangles written by Joseph A Thas and published by World Scientific. This book was released on 2006-09-28 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 “Moufang Condition”, 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: “Finite Generalized Quadrangles” (1984) by S E Payne and J A Thas, “Generalized Polygons” (1998) by H Van Maldeghem, and “Symmetry in Finite Generalized Quadrangles” (2004) by K Thas.
Book Synopsis Surveys in Combinatorics 2011 by : Robin Chapman
Download or read book Surveys in Combinatorics 2011 written by Robin Chapman and published by Cambridge University Press. This book was released on 2011-06-23 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles based on the invited lectures given at the 23rd British Combinatorial Conference, held in July 2011 at the University of Exeter. Each article surveys an area of current research in combinatorial mathematics and will be invaluable to anyone wishing to keep abreast of modern developments.
Book Synopsis A Course in Modern Geometries by : Judith N. Cederberg
Download or read book A Course in Modern Geometries written by Judith N. Cederberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry. There follows a new introduction to symmetry and hands-on explorations of isometries that precedes an extensive analytic treatment of similarities and affinities. Chapter 4 presents plane projective geometry both synthetically and analytically, and the new Chapter 5 uses a descriptive and exploratory approach to introduce chaos theory and fractal geometry, stressing the self-similarity of fractals and their generation by transformations from Chapter 3. Throughout, each chapter includes a list of suggested resources for applications or related topics in areas such as art and history, plus this second edition points to Web locations of author-developed guides for dynamic software explorations of the Poincaré model, isometries, projectivities, conics and fractals. Parallel versions are available for "Cabri Geometry" and "Geometers Sketchpad".
Book Synopsis A Course in Modern Geometries by : Judith Cederberg
Download or read book A Course in Modern Geometries written by Judith Cederberg and published by Springer. This book was released on 1989 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics.
Book Synopsis Finite Generalized Quadrangles by : Stanley E. Payne
Download or read book Finite Generalized Quadrangles written by Stanley E. Payne and published by European Mathematical Society. This book was released on 2009 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized quadrangles (GQ) were formally introduced by J. Tits in 1959 to describe geometric properties of simple groups of Lie type of rank 2. The first edition of Finite Generalized Quadrangles (FGQ) quickly became the standard reference for finite GQ. The second edition is essentially a reprint of the first edition. It is a careful rendering into LaTeX of the original, along with an appendix that brings to the attention of the reader those major new results pertaining to GQ, especially in those areas where the authors of this work have made a contribution. The first edition has been out of print for many years. The new edition makes available again this classical reference in the rapidly increasing field of finite geometries.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Strange Elation by : David Kilgour
Download or read book A Strange Elation written by David Kilgour and published by Hart House. This book was released on 1999 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mostly Finite Geometries by : Norman Johnson
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.
Book Synopsis Designs and Finite Geometries by : Dieter Jungnickel
Download or read book Designs and Finite Geometries written by Dieter Jungnickel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designs and Finite Geometries brings together in one place important contributions and up-to-date research results in this important area of mathematics. Designs and Finite Geometries serves as an excellent reference, providing insight into some of the most important research issues in the field.
Download or read book Combinatorics '90 written by A. Barlotti and published by Elsevier. This book was released on 1992-08-17 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume forms a valuable source of information on recent developments in research in combinatorics, with special regard to the geometric point of view. Topics covered include: finite geometries (arcs, caps, special varieties in a Galois space; generalized quadrangles; Benz planes; foundation of geometry), partial geometries, Buekenhout geometries, transitive permutation sets, flat-transitive geometries, design theory, finite groups, near-rings and semifields, MV-algebras, coding theory, cryptography and graph theory in its geometric and design aspects.
Book Synopsis U.S. Geological Survey Professional Paper by :
Download or read book U.S. Geological Survey Professional Paper written by and published by . This book was released on 1965 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Beiträge Zur Algebra und Geometrie by :
Download or read book Beiträge Zur Algebra und Geometrie written by and published by . This book was released on 2002 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adult Elementary Education by : Huldah Florence Cook
Download or read book Adult Elementary Education written by Huldah Florence Cook and published by . This book was released on 1927 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An American in the Making by : M. E. Ravage
Download or read book An American in the Making written by M. E. Ravage and published by Rutgers University Press. This book was released on 2009-05-19 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the turn of the twentieth century, M. E. Ravage set off in steerage for America, one of almost two million Jews who, like millions of others from eastern and southern Europe, were lured by tales of worldly success. Seventeen years after arriving on Ellis Island, Ravage had mastered a new language, found success in college, and engagingly penned in English this vivid account of the ordeals and pleasures of departure and assimilation. Steven G. Kellman brings Ravage's story to life again in this new edition, providing a brief biography and introduction that place the memoir within historical and literary contexts. An American in the Making contributes to a broader understanding of the global notion of "America" and remains timely, especially in an era when massive immigration, now from Latin America and Asia, challenges ideas of national identity.
Book Synopsis a child's autobiography vol 2 by : clare mccann
Download or read book a child's autobiography vol 2 written by clare mccann and published by Lulu.com. This book was released on with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
