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Author : Ayse Berkman
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (595 download)
Download or read book An Identification Theorem for Groups of Finite Morley Rank and Even Type written by Ayse Berkman and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Anatolievich Ivanov
Publisher : World Scientific
ISBN 13 : 9814486426
Total Pages : 347 pages
Book Rating : 4.8/5 (144 download)
Download or read book Groups, Combinatorics And Geometry written by Alexander Anatolievich Ivanov and published by World Scientific. This book was released on 2003-03-19 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 20 years, the theory of groups — in particular simple groups, finite and algebraic — has influenced a number of diverse areas of mathematics. Such areas include topics where groups have been traditionally applied, such as algebraic combinatorics, finite geometries, Galois theory and permutation groups, as well as several more recent developments. Among the latter are probabilistic and computational group theory, the theory of algebraic groups over number fields, and model theory, in each of which there has been a major recent impetus provided by simple group theory. In addition, there is still great interest in local analysis in finite groups, with substantial new input from methods of geometry and amalgams, and particular emphasis on the revision project for the classification of finite simple groups.This important book contains 20 survey articles covering many of the above developments. It should prove invaluable for those working in the theory of groups and its applications.
Author : Ayse Berkman
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (594 download)
Download or read book A Generic Identification Theorem for Groups of Finite Morley Rank written by Ayse Berkman and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yi Zhang
Publisher : American Mathematical Soc.
ISBN 13 : 082182984X
Total Pages : 298 pages
Book Rating : 4.8/5 (218 download)
Download or read book Logic and Algebra written by Yi Zhang and published by American Mathematical Soc.. This book was released on 2002 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume outlines current developments in model theory and combinatorial set theory and presents state-of-the-art research. Well-known researchers report on their work in model theory and set theory with applications to algebra. The papers of J. Brendle and A. Blass present one of the most interesting areas of set theory. Brendle gives a very detailed and readable account of Shelah's solution for the long-standing problem of $\mathrm{Con (\mathfrak{d a )$. It could be used in anadvanced graduate seminar on set theory. Papers by T. Altinel, J. T. Baldwin, R. Grossberg, W. Hodges, T. Hyttinen, O. Lessmann, and B. Zilber deal with questions of model theory from the viewpoint of stability theory. Here, Zilber constructs an $\omega$-stable complete theory of ``pseudo-analytic''structures on algebraically closed fields. This result is part of his program of the model-theoretic study of analytic structures by including Hrushovski's method in the analytic context. The book presents this and further developments in model theory. It is geared toward advanced graduate students and researchers interested in logic and foundations, algebra, and algebraic geometry.
Author : Katrin Tent
Publisher : Cambridge University Press
ISBN 13 : 9780521010634
Total Pages : 314 pages
Book Rating : 4.0/5 (16 download)
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.
Author : Luc Bélair
Publisher :
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.3/5 (91 download)
Download or read book Model Theory and Applications written by Luc Bélair and published by . This book was released on 2002 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.3/5 (555 download)
Download or read book The Bulletin of Symbolic Logic written by and published by . This book was released on 2009 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Costas Dimitracopoulos
Publisher : Cambridge University Press
ISBN 13 : 1139467255
Total Pages : 272 pages
Book Rating : 4.1/5 (394 download)
Download or read book Logic Colloquium 2005 written by Costas Dimitracopoulos and published by Cambridge University Press. This book was released on 2007-12-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of developments, and the rest of the papers are chosen to complement the invited talks. This 2007 volume includes surveys, tutorials, and selected research papers from the 2005 meeting. Highlights include three papers on different aspects of connections between model theory and algebra; a survey of major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of Bernay's philosophy of mathematics.
Author :
Publisher :
ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tuna Altınel
Publisher : American Mathematical Soc.
ISBN 13 : 9780821843055
Total Pages : 556 pages
Book Rating : 4.8/5 (43 download)
Download or read book Simple Groups of Finite Morley Rank written by Tuna Altınel and published by American Mathematical Soc.. This book was released on 2008 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a detailed presentation of the classification of the simple groups of finite Morley rank which contain a nontrivial unipotent 2-subgroup. They are linear algebraic groups over algebraically closed fields of characteristic 2. Although the story told in the book is inspired by the classification of the finite simple groups, it goes well beyond this source of inspiration. Not only do the techniques adapted from finite group theory cover, in a peculiar way, various portions of the three generations of approaches to finite simple groups but model theoretic methods also play an unexpected role. The book contains a complete account of all this material, part of which has not been published. In addition, almost every general result about groups of finite Morley rank is exposed in detail and the book ends with a chapter where the authors provide a list of open problems in the relevant fields of mathematics. As a result, the book provides food for thought to finite group theorists, model theorists, and algebraic geometers who are interested in group theoretic problems.
Author : Daniel Gorenstein
Publisher : American Mathematical Soc.
ISBN 13 : 0821809601
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Classification of the Finite Simple Groups written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1994-11-18 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classification of the finite simple groups is one of the major feats of contemporary mathematical research, but its proof has never been completely extricated from the journal literature in which it first appeared. This book serves as an introduction to a series devoted to organizing and simplifying the proof. The purpose of the series is to present as direct and coherent a proof as is possible with existing techniques. This first volume, which sets up the structure for the entire series, begins with largely informal discussions of the relationship between the Classification Theorem and the general structure of finite groups, as well as the general strategy to be followed in the series and a comparison with the original proof. Also listed are background results from the literature that will be used in subsequent volumes. Next, the authors formally present the structure of the proof and the plan for the series of volumes in the form of two grids, giving the main case division of the proof as well as the principal milestones in the analysis of each case. Thumbnail sketches are given of the ten or so principal methods underlying the proof. Much of the book is written in an expository style accessible to nonspecialists.
Author : R.W. Carter
Publisher : Springer Science & Business Media
ISBN 13 : 9401153086
Total Pages : 388 pages
Book Rating : 4.4/5 (11 download)
Download or read book Algebraic Groups and their Representations written by R.W. Carter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997. We acknowledge with gratitude the financial support given by the NATO Science Committee to enable this ASI to take place. Generous financial support was also provided by the European Union. We are also pleased to acknowledge funds given by EPSRC to the Newton Institute which were used to support the meeting. It is a pleasure to thank the Director of the Isaac Newton Institute, Professor Keith Moffatt, and the staff of the Institute for their dedicated work which did so much to further the success of the meeting. The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers. Finally we wish to thank the distinguished speakers at the ASI who agreed to write articles for this volume based on their lectures at the meet ing. We hope that the volume will stimulate further significant advances in the theory of algebraic groups.
Author : Bruno Poizat
Publisher : American Mathematical Soc.
ISBN 13 : 0821826859
Total Pages : 145 pages
Book Rating : 4.8/5 (218 download)
Download or read book Stable Groups written by Bruno Poizat and published by American Mathematical Soc.. This book was released on 2001 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the English translation of the book originally published in 1987. It is a faithful reproduction of the original, supplemented by a new Foreword and brought up to date by a short postscript. The book gives an introduction by a specialist in contemporary mathematical logic to the model-theoretic study of groups, i.e., into what can be said about groups, and for that matter, about all the traditional algebraic objects. The author introduces the groups of finite Morley rank (those satisfying the most restrictive assumptions from the point of view of logic), and highlights their resemblance to algebraic groups, of which they are the prototypes. (All the necessary prerequisites from algebraic geometry are included in the book.) Then, whenever possible, generalizations of properties of groups of finite Morley type to broader classes of superstables and stable groups are described. The exposition in the first four chapters can be understood by mathematicians who have some knowledge of logic (model theory). The last three chapters are intended for specialists in mathematical logic.
Author : Alexandre Borovik
Publisher : OUP Oxford
ISBN 13 : 9780198534457
Total Pages : 409 pages
Book Rating : 4.5/5 (344 download)
Download or read book Groups of Finite Morley Rank written by Alexandre Borovik and published by OUP Oxford. This book was released on 1994 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the theory of groups of finite Morley rank. These groups arise in model theory and generalize the concept of algebraic groups over algebraically closed fields. The book contains almost all the known results in the subject. Trying to attract pure group theorists in thesubject and to prepare the graduate student to start the research in the area, the authors adopted an algebraic and self evident point of view rather than a model theoretic one, and developed the theory from scratch. All the necessary model theoretical and group theoretical notions are explained inlength. The book is full of exercises and examples and one of its chapters contains a discussion of open problems and a program for further research.
Author : Jeffrey Burdges
Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.:/5 (64 download)
Download or read book Simple Groups of Finite Morley Rank of Odd and Degenerate Type written by Jeffrey Burdges and published by . This book was released on 2004 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre Simon
Publisher : Cambridge University Press
ISBN 13 : 1107057752
Total Pages : 165 pages
Book Rating : 4.1/5 (7 download)
Download or read book A Guide to NIP Theories written by Pierre Simon and published by Cambridge University Press. This book was released on 2015-07-16 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.
Author : M. Hazewinkel
Publisher : Elsevier
ISBN 13 : 0080532969
Total Pages : 899 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2000-04-06 with total page 899 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra
