Finite Permutation Groups

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Publisher : Academic Press
ISBN 13 : 1483258297
Total Pages : 125 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Finite Permutation Groups by : Helmut Wielandt

Download or read book Finite Permutation Groups written by Helmut Wielandt and published by Academic Press. This book was released on 2014-05-10 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Permutation Groups provides an introduction to the basic facts of both the theory of abstract finite groups and the theory of permutation groups. This book deals with older theorems on multiply transitive groups as well as on simply transitive groups. Organized into five chapters, this book begins with an overview of the fundamental concepts of notation and Frobenius group. This text then discusses the modifications of multiple transitivity and can be used to deduce an improved form of the classical theorem. Other chapters consider the concept of simply transitive permutation groups. This book discusses as well permutation groups in the framework of representation theory. The final chapter deals with Frobenius' theory of group characters. This book is a valuable resource for engineers, mathematicians, and research workers. Graduate students and readers who are interested in finite permutation groups will also find this book useful.

Permutation Groups

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461207312
Total Pages : 360 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Permutation Groups by : John D. Dixon

Download or read book Permutation Groups written by John D. Dixon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.

Representations of Permutation Groups I

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Author :
Publisher : Springer
ISBN 13 : 3540370048
Total Pages : 186 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Representations of Permutation Groups I by : A. Kerber

Download or read book Representations of Permutation Groups I written by A. Kerber and published by Springer. This book was released on 2006-11-15 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representations of Permutation Groups

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Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Representations of Permutation Groups by : Adalbert Kerber

Download or read book Representations of Permutation Groups written by Adalbert Kerber and published by . This book was released on 1971 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642579760
Total Pages : 538 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Quantum Mechanics by : Walter Greiner

Download or read book Quantum Mechanics written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Greiner's lectures, which underlie these volumes, are internationally noted for their clarity, their completeness and for the effort that he has devoted to making physics an integral whole; his enthusiasm for his science is contagious and shines through almost every page. These volumes represent only a part of a unique and Herculean effort to make all of theoretical physics accessible to the interested student. Beyond that, they are of enormous value to the professional physicist and to all others working with quantum phenomena. Again and again the reader will find that, after dipping into a particular volume to review a specific topic, he will end up browsing, caught up by often fascinating new insights and developments with which he had not previously been familiar. Having used a number of Greiner's volumes in their original German in my teaching and research at Yale, I welcome these new and revised English translations and would recommend them enthusiastically to anyone searching for a coherent overview of physics.

Representation Theory of Finite Groups

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Publisher : Academic Press
ISBN 13 : 1483258211
Total Pages : 196 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Representation Theory of Finite Groups by : Martin Burrow

Download or read book Representation Theory of Finite Groups written by Martin Burrow and published by Academic Press. This book was released on 2014-05-10 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representation Theory of Finite Groups is a five chapter text that covers the standard material of representation theory. This book starts with an overview of the basic concepts of the subject, including group characters, representation modules, and the rectangular representation. The succeeding chapters describe the features of representation theory of rings with identity and finite groups. These topics are followed by a discussion of some of the application of the theory of characters, along with some classical theorems. The last chapter deals with the construction of irreducible representations of groups. This book will be of great value to graduate students who wish to acquire some knowledge of representation theory.

Representations and Characters of Groups

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Publisher : Cambridge University Press
ISBN 13 : 1139811053
Total Pages : 436 pages
Book Rating : 4.1/5 (398 download)

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Book Synopsis Representations and Characters of Groups by : Gordon James

Download or read book Representations and Characters of Groups written by Gordon James and published by Cambridge University Press. This book was released on 2001-10-18 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.

Representations of Finite and Compact Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821804537
Total Pages : 280 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representations of Finite and Compact Groups by : Barry Simon

Download or read book Representations of Finite and Compact Groups written by Barry Simon and published by American Mathematical Soc.. This book was released on 1996 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a comprehensive pedagogical presentation of the theory of representation of finite and compact Lie groups. It considers both the general theory and representation of specific groups. Representation theory is discussed on the following types of groups: finite groups of rotations, permutation groups, and classical compact semisimple Lie groups. Along the way, the structure theory of the compact semisimple Lie groups is exposed. This is aimed at research mathematicians and graduate students studying group theory.

Permutation Group Algorithms

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Publisher : Cambridge University Press
ISBN 13 : 9780521661034
Total Pages : 292 pages
Book Rating : 4.6/5 (61 download)

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Book Synopsis Permutation Group Algorithms by : Ákos Seress

Download or read book Permutation Group Algorithms written by Ákos Seress and published by Cambridge University Press. This book was released on 2003-03-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Representations of the Infinite Symmetric Group

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Publisher : Cambridge University Press
ISBN 13 : 1107175550
Total Pages : 169 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Representations of the Infinite Symmetric Group by : Alexei Borodin

Download or read book Representations of the Infinite Symmetric Group written by Alexei Borodin and published by Cambridge University Press. This book was released on 2017 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

Representation Theory of Finite Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 1461407761
Total Pages : 166 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Representation Theory of Finite Groups by : Benjamin Steinberg

Download or read book Representation Theory of Finite Groups written by Benjamin Steinberg and published by Springer Science & Business Media. This book was released on 2011-10-23 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.

Permutation Groups

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Publisher : Courier Corporation
ISBN 13 : 0486310914
Total Pages : 162 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Permutation Groups by : Donald S. Passman

Download or read book Permutation Groups written by Donald S. Passman and published by Courier Corporation. This book was released on 2013-10-03 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture notes by a prominent authority provide a self-contained account of classification theorems. Includes work of Zassenhaus on Frobenius elements and sharply transitive groups, Huppert's theorem, more. 1968 edition.

A Course in Finite Group Representation Theory

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Publisher : Cambridge University Press
ISBN 13 : 1107162394
Total Pages : 339 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis A Course in Finite Group Representation Theory by : Peter Webb

Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Group Theory in Physics

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Publisher : World Scientific
ISBN 13 : 9971966565
Total Pages : 368 pages
Book Rating : 4.9/5 (719 download)

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Book Synopsis Group Theory in Physics by : Wu-Ki Tung

Download or read book Group Theory in Physics written by Wu-Ki Tung and published by World Scientific. This book was released on 1985 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems. Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry. Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained. A set of problems and solutions has been published in a separate booklet.

Group Representations in Probability and Statistics

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Author :
Publisher : Ims
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Group Representations in Probability and Statistics by : Persi Diaconis

Download or read book Group Representations in Probability and Statistics written by Persi Diaconis and published by Ims. This book was released on 1988 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821889633
Total Pages : 224 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize by : Sergei Vasilʹevich Kerov

Download or read book Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize written by Sergei Vasilʹevich Kerov and published by American Mathematical Soc.. This book was released on with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. Here, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on an important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of both directions. His book presents an account of these contributions, as well as those of other researchers. Among the problems of the first type, the author discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram. He also studies stochastic properties of the deviations of random diagrams from the limiting curve. Among the problems of the second type, Kerov studies an important problem of computing irreducible characters of the infinite symmetric group. This leads to the study of a continuous analog of the notion of Young diagram, and in particular, to a continuous analogue of the hook walk algorithm, which is well known in the combinatorics of finite Young diagrams. In turn, this construction provides a completely new description of the relation between the classical moment problems of Hausdorff and Markov. The book is suitable for graduate students and research mathematicians interested in representation theory and combinatorics.

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

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Publisher : Cambridge University Press
ISBN 13 : 1107627850
Total Pages : 177 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups by : Tullio Ceccherini-Silberstein

Download or read book Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups written by Tullio Ceccherini-Silberstein and published by Cambridge University Press. This book was released on 2014-01-16 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.