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Tits Buildings And The Model Theory Of Groups
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Book Synopsis Tits Buildings and the Model Theory of Groups by : Katrin Tent
Download or read book Tits Buildings and the Model Theory of Groups written by Katrin Tent and published by Cambridge University Press. This book was released on 2002-01-03 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Book Synopsis Buildings and Classical Groups by : Paul B. Garrett
Download or read book Buildings and Classical Groups written by Paul B. Garrett and published by CRC Press. This book was released on 1997-04-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Buildings are highly structured, geometric objects, primarily used in the finer study of the groups that act upon them. In Buildings and Classical Groups, the author develops the basic theory of buildings and BN-pairs, with a focus on the results needed to apply it to the representation theory of p-adic groups. In particular, he addresses spherical and affine buildings, and the "spherical building at infinity" attached to an affine building. He also covers in detail many otherwise apocryphal results. Classical matrix groups play a prominent role in this study, not only as vehicles to illustrate general results but as primary objects of interest. The author introduces and completely develops terminology and results relevant to classical groups. He also emphasizes the importance of the reflection, or Coxeter groups and develops from scratch everything about reflection groups needed for this study of buildings. In addressing the more elementary spherical constructions, the background pertaining to classical groups includes basic results about quadratic forms, alternating forms, and hermitian forms on vector spaces, plus a description of parabolic subgroups as stabilizers of flags of subspaces. The text then moves on to a detailed study of the subtler, less commonly treated affine case, where the background concerns p-adic numbers, more general discrete valuation rings, and lattices in vector spaces over ultrametric fields. Buildings and Classical Groups provides essential background material for specialists in several fields, particularly mathematicians interested in automorphic forms, representation theory, p-adic groups, number theory, algebraic groups, and Lie theory. No other available source provides such a complete and detailed treatment.
Book Synopsis Finite and Algorithmic Model Theory by : Javier Esparza
Download or read book Finite and Algorithmic Model Theory written by Javier Esparza and published by Cambridge University Press. This book was released on 2011-03-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.
Book Synopsis The Coxeter Legacy by : Harold Scott Macdonald Coxeter
Download or read book The Coxeter Legacy written by Harold Scott Macdonald Coxeter and published by American Mathematical Soc.. This book was released on with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays on the legacy of mathematican Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists.
Book Synopsis Mathematical Models in Contact Mechanics by : Mircea Sofonea
Download or read book Mathematical Models in Contact Mechanics written by Mircea Sofonea and published by Cambridge University Press. This book was released on 2012-09-13 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete introduction to the modelling and mathematical analysis of contact processes with deformable solids.
Book Synopsis Classification of countable models of complete theories. Рart 2 by : Sergey Sudoplatov
Download or read book Classification of countable models of complete theories. Рart 2 written by Sergey Sudoplatov and published by Litres. This book was released on 2022-01-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the second part of the monograph “Classification of countable models of complete theories” consisting of two parts. In the book, generic Ehrenfeucht theories and realizations of Rudin–Keisler preorders are considered as well as a solution of the Goncharov–Millar problem on the existence of Ehrenfeucht theories with countable models which are not almost homogeneous, stable Ehrenfeucht theories solving the Lachlan problem, hypergraphs of prime models, distributions of countable models of small theories, and distributions of countable models of theories with continuum many types.The book is intended for specialists interested in Mathematical Logic.
Book Synopsis Classification of countable models of complete theories. Рart 1 by : Sergey Sudoplatov
Download or read book Classification of countable models of complete theories. Рart 1 written by Sergey Sudoplatov and published by Litres. This book was released on 2022-01-29 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the first part of the monograph “Classification of countable models of complete theories” consisting of two parts. In the monograph, a classification of countable models of complete theories with respect to two basic characteristics (Rudin–Keisler preorders and distribution functions for numbers of limit models) is presented and applied to the most important classes of countable theories such as the class of Ehrenfeucht theories (i. e., complete first-order theories with finitely many but more than one pairwise non-isomorphic countable models), the class of small theories (i. e., complete first-order theories with countably many types), and the class of countable first-order theories with continuum many types. For realizations of basic characteristics of countable complete theories, syntactic generic constructions, generalizing the Jonsson–Fraïssé construction and the Hrushovski construction, are presented. Using these constructions a solution of the Goncharov–Millar problem (on the existence of Ehrenfeucht theories with countable models which are not almost homogeneous) is described. Modifying the Hrushovski–Herwig generic construction, a solution of the Lachlan problem on the existence of stable Ehrenfeucht theories is shown. In the first part, a characterization of Ehrenfeuchtness, properties of Ehrenfeucht theories, generic constructions, and algebras for distributions of binary semi-isolating formulas of a complete theory are considered.The book is intended for specialists interested in Mathematical Logic.
Download or read book How Groups Grow written by Avinoam Mann and published by Cambridge University Press. This book was released on 2011-12-15 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the subject of the growth of groups from scratch, starting with basic definitions and culminating in the seminal results of Gromov and Grigorchuk and more. It is valuable reading for researchers from graduate students up who want to be acquainted with contemporary group theory.
Book Synopsis Proceedings Of The 14th And 15th Asian Logic Conferences by : Kim Byunghan
Download or read book Proceedings Of The 14th And 15th Asian Logic Conferences written by Kim Byunghan and published by World Scientific. This book was released on 2019-01-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asian Logic Conference (ALC) is a major international event in mathematical logic. It features the latest scientific developments in the fields of mathematical logic and its applications, logic in computer science, and philosophical logic. The ALC series also aims to promote mathematical logic in the Asia-Pacific region and to bring logicians together both from within Asia and elsewhere for an exchange of information and ideas. This combined proceedings volume represents works presented or arising from the 14th and 15th ALCs.
Book Synopsis Algebraic Theory of Differential Equations by :
Download or read book Algebraic Theory of Differential Equations written by and published by Cambridge University Press. This book was released on with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Simplicity Theory written by Byunghan Kim and published by Oxford University Press. This book was released on 2014 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date account of the current techniques and results in Simplicity Theory, which has been a focus of research in model theory for the last decade. Suitable for logicians, mathematicians and graduate students working on model theory.
Book Synopsis Lectures on Buildings by : Mark Ronan
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
Book Synopsis Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 by : Raf Cluckers
Download or read book Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 written by Raf Cluckers and published by Cambridge University Press. This book was released on 2011-09-22 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.
Book Synopsis The Maximal Subgroups of the Low-Dimensional Finite Classical Groups by : John N. Bray
Download or read book The Maximal Subgroups of the Low-Dimensional Finite Classical Groups written by John N. Bray and published by Cambridge University Press. This book was released on 2013-07-25 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
Book Synopsis Modular Representations of Finite Groups of Lie Type by : James E. Humphreys
Download or read book Modular Representations of Finite Groups of Lie Type written by James E. Humphreys and published by Cambridge University Press. This book was released on 2006 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Book Synopsis Foundations of Computational Mathematics, Hong Kong 2008 by : Felipe Cucker
Download or read book Foundations of Computational Mathematics, Hong Kong 2008 written by Felipe Cucker and published by Cambridge University Press. This book was released on 2009-07-02 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys and summaries of the latest research in numerical analysis, optimization, computer algebra and scientific computing.
Book Synopsis Highly Oscillatory Problems by : Bjorn Engquist
Download or read book Highly Oscillatory Problems written by Bjorn Engquist and published by Cambridge University Press. This book was released on 2009-07-02 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Review papers from experts in areas of active research into highly oscillatory problems, with an emphasis on computation.
