Download or read book Tits Polygons written by Bernhard Mühlherr and published by American Mathematical Society. This book was released on 2022-02-02 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Generalized Polygons written by Hendrik Van Maldeghem and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Polygons is the first book to cover, in a coherent manner, the theory of polygons from scratch. In particular, it fills elementary gaps in the literature and gives an up-to-date account of current research in this area, including most proofs, which are often unified and streamlined in comparison to the versions generally known. Generalized Polygons will be welcomed both by the student seeking an introduction to the subject as well as the researcher who will value the work as a reference. In particular, it will be of great value for specialists working in the field of generalized polygons (which are, incidentally, the rank 2 Tits-buildings) or in fields directly related to Tits-buildings, incidence geometry and finite geometry. The approach taken in the book is of geometric nature, but algebraic results are included and proven (in a geometric way!). A noteworthy feature is that the book unifies and generalizes notions, definitions and results that exist for quadrangles, hexagons, octagons - in the literature very often considered separately - to polygons. Many alternative viewpoints given in the book heighten the sense of beauty of the subject and help to provide further insight into the matter.
Download or read book An Algebraic Structure for Moufang Quadrangles written by Tom de Medts and published by American Mathematical Soc.. This book was released on 2005 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features an article that intends to present a uniform algebraic structure for Moufang quadrangles, and to classify these structures without referring back to the original Moufang quadrangles from which they arise, thereby also giving a new proof for the classification of Moufang quadrangles, which does consist of the division into these 2 parts.
Download or read book Finite Groups 2003 written by Chat-Yin Ho and published by Walter de Gruyter. This book was released on 2004 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Download or read book Lectures on Buildings written by Mark Ronan and published by University of Chicago Press. This book was released on 2009-10-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematics, “buildings” are geometric structures that represent groups of Lie type over an arbitrary field. This concept is critical to physicists and mathematicians working in discrete mathematics, simple groups, and algebraic group theory, to name just a few areas. Almost twenty years after its original publication, Mark Ronan’s Lectures on Buildings remains one of the best introductory texts on the subject. A thorough, concise introduction to mathematical buildings, it contains problem sets and an excellent bibliography that will prove invaluable to students new to the field. Lectures on Buildings will find a grateful audience among those doing research or teaching courses on Lie-type groups, on finite groups, or on discrete groups. “Ronan’s account of the classification of affine buildings [is] both interesting and stimulating, and his book is highly recommended to those who already have some knowledge and enthusiasm for the theory of buildings.”—Bulletin of the London Mathematical Society
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.
Download or read book The Abel Prize 2008 2012 written by Helge Holden and published by Springer Science & Business Media. This book was released on 2014-01-21 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the years 2008-2012, this book profiles the life and work of recent winners of the Abel Prize: · John G. Thompson and Jacques Tits, 2008 · Mikhail Gromov, 2009 · John T. Tate Jr., 2010 · John W. Milnor, 2011 · Endre Szemerédi, 2012. The profiles feature autobiographical information as well as a description of each mathematician's work. In addition, each profile contains a complete bibliography, a curriculum vitae, as well as photos — old and new. As an added feature, interviews with the Laureates are presented on an accompanying web site (http://extras.springer.com/). The book also presents a history of the Abel Prize written by the historian Kim Helsvig, and includes a facsimile of a letter from Niels Henrik Abel, which is transcribed, translated into English, and placed into historical perspective by Christian Skau. This book follows on The Abel Prize: 2003-2007, The First Five Years (Springer, 2010), which profiles the work of the first Abel Prize winners.
Download or read book The Structure of Spherical Buildings written by Richard M. Weiss and published by Princeton University Press. This book was released on 2020-07-21 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear and authoritative introduction to the theory of buildings, a topic of central importance to mathematicians interested in the geometric aspects of group theory. Its detailed presentation makes it suitable for graduate students as well as specialists. Richard Weiss begins with an introduction to Coxeter groups and goes on to present basic properties of arbitrary buildings before specializing to the spherical case. Buildings are described throughout in the language of graph theory. The Structure of Spherical Buildings includes a reworking of the proof of Jacques Tits's Theorem 4.1.2. upon which Tits's classification of thick irreducible spherical buildings of rank at least three is based. In fact, this is the first book to include a proof of this famous result since its original publication. Theorem 4.1.2 is followed by a systematic study of the structure of spherical buildings and their automorphism groups based on the Moufang property. Moufang buildings of rank two were recently classified by Tits and Weiss. The last chapter provides an overview of the classification of spherical buildings, one that reflects these and other important developments.
Download or read book It From Bit or Bit From It written by Anthony Aguirre and published by Springer. This book was released on 2015-02-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays in this book look at the question of whether physics can be based on information, or – as John Wheeler phrased it – whether we can get “It from Bit”. They are based on the prize-winning essays submitted to the FQXi essay competition of the same name, which drew over 180 entries. The eighteen contributions address topics as diverse as quantum foundations, entropy conservation, nonlinear logic and countable spacetime. Together they provide stimulating reading for all physics aficionados interested in the possible role(s) of information in the laws of nature. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.
Download or read book General Galois Geometries written by James Hirschfeld and published by Springer. This book was released on 2016-02-03 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular point sets in finite n-dimensional projective spaces. General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level.
Download or read book Diagram Geometry written by Francis Buekenhout and published by Springer Science & Business Media. This book was released on 2013-01-26 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs. The text is written so graduate students will be able to follow the arguments without needing recourse to further literature. A strong point of the book is the density of examples.
Download or read book Applying the Classification of Finite Simple Groups written by Stephen D. Smith and published by American Mathematical Soc.. This book was released on 2018-04-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classification of Finite Simple Groups (CFSG) is a major project involving work by hundreds of researchers. The work was largely completed by about 1983, although final publication of the “quasithin” part was delayed until 2004. Since the 1980s, CFSG has had a huge influence on work in finite group theory and in many adjacent fields of mathematics. This book attempts to survey and sample a number of such topics from the very large and increasingly active research area of applications of CFSG. The book is based on the author's lectures at the September 2015 Venice Summer School on Finite Groups. With about 50 exercises from original lectures, it can serve as a second-year graduate course for students who have had first-year graduate algebra. It may be of particular interest to students looking for a dissertation topic around group theory. It can also be useful as an introduction and basic reference; in addition, it indicates fuller citations to the appropriate literature for readers who wish to go on to more detailed sources.
Download or read book Buildings written by Peter Abramenko and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beginners can use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher. This book is suitable as a textbook, with many exercises, and it may also be used for self-study.
Download or read book Models and Computability written by S. Barry Cooper and published by Cambridge University Press. This book was released on 1999-06-17 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second of two volumes providing a comprehensive guide to the current state of mathematical logic.
Download or read book Symmetry in Finite Generalized Quadrangles written by Koen Thas and published by Springer Science & Business Media. This book was released on 2004-01-26 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph classifies finite generalized quadrangles by symmetry, generalizing the celebrated Lenz-Barlotti classification for projective planes. The book introduces combinatorial, geometrical and group-theoretical concepts that arise in the classification and in the general theory of finite generalized quadrangles, including automorphism groups, elation and translation generalized quadrangles, generalized ovals and generalized ovoids, span-symmetric generalized quadrangles, flock geometry and property (G), regularity and nets, split BN-pairs of rank 1, and the Moufang property.
Download or read book Complete Intersections written by S. Greco and published by Springer. This book was released on 2006-12-08 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bifurcation Theory and Applications written by L. Salvadori and published by Springer. This book was released on 2006-12-08 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
