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Author : Gloria Grace Potter
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.3/5 (129 download)
Download or read book On H-projective FG-modules and the Complete Reducibility of Induced FH-modules written by Gloria Grace Potter and published by . This book was released on 1975 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Karpilovsky
Publisher : Elsevier
ISBN 13 : 0080872727
Total Pages : 533 pages
Book Rating : 4.0/5 (88 download)
Download or read book Induced Modules over Group Algebras written by G. Karpilovsky and published by Elsevier. This book was released on 1990-03-01 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1898 Frobenius discovered a construction which, in present terminology, associates with every module of a subgroup the induced module of a group. This construction proved to be of fundamental importance and is one of the basic tools in the entire theory of group representations.This monograph is designed for research mathematicians and advanced graduate students and gives a picture of the general theory of induced modules as it exists at present. Much of the material has until now been available only in research articles. The approach is not intended to be encyclopedic, rather each topic is considered in sufficient depth that the reader may obtain a clear idea of the major results in the area.After establishing algebraic preliminaries, the general facts about induced modules are provided, as well as some of their formal properties, annihilators and applications. The remaining chapters include detailed information on the process of induction from normal subgroups, projective summands of induced modules, some basic results of the Green theory with refinements and extensions, simple induction and restriction pairs and permutation modules. The final chapter is based exclusively on the work of Weiss, presenting a number of applications to the isomorphism problem for group rings.
Author : G. Karpilovsky
Publisher : Elsevier
ISBN 13 : 0080872468
Total Pages : 543 pages
Book Rating : 4.0/5 (88 download)
Download or read book The Jacobson Radical of Group Algebras written by G. Karpilovsky and published by Elsevier. This book was released on 1987-04-01 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let G be a finite group and let F be a field. It is well known that linear representations of G over F can be interpreted as modules over the group algebra FG. Thus the investigation of ring-theoretic structure of the Jacobson radical J(FG) of FG is of fundamental importance. During the last two decades the subject has been pursued by a number of researchers and many interesting results have been obtained. This volume examines these results.The main body of the theory is presented, giving the central ideas, the basic results and the fundamental methods. It is assumed that the reader has had the equivalent of a standard first-year graduate algebra course, thus familiarity with basic ring-theoretic and group-theoretic concepts and an understanding of elementary properties of modules, tensor products and fields. A chapter on algebraic preliminaries is included, providing a survey of topics needed later in the book. There is a fairly large bibliography of works which are either directly relevant to the text or offer supplementary material of interest.
Author :
Publisher :
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematica Japonicae written by and published by . This book was released on 1976 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julie Rogers Kraay
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.3/5 (129 download)
Download or read book Relationships Between the Restricted Ideals and Induced Modules of the Group Ring FG written by Julie Rogers Kraay and published by . This book was released on 1981 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1060 pages
Book Rating : 4.:/5 (36 download)
Download or read book Transactions of the American Mathematical Society written by and published by . This book was released on 1974 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 698 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1976 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lance W. Small
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.3/5 (91 download)
Download or read book Reviews in Ring Theory written by Lance W. Small and published by . This book was released on 1981 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dharam Chand Khatri
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.3/5 (129 download)
Download or read book Relative Projectivity and Radicals in Modular Group Algebras written by Dharam Chand Khatri and published by . This book was released on 1972 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hirosi Nagao
Publisher : Elsevier
ISBN 13 : 1483269930
Total Pages : 443 pages
Book Rating : 4.4/5 (832 download)
Download or read book Representations of Finite Groups written by Hirosi Nagao and published by Elsevier. This book was released on 2014-05-10 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representations of Finite Groups provides an account of the fundamentals of ordinary and modular representations. This book discusses the fundamental theory of complex representations of finite groups. Organized into five chapters, this book begins with an overview of the basic facts about rings and modules. This text then provides the theory of algebras, including theories of simple algebras, Frobenius algebras, crossed products, and Schur indices with representation-theoretic versions of them. Other chapters include a survey of the fundamental theory of modular representations, with emphasis on Brauer characters. This book discusses as well the module-theoretic representation theory due to Green and includes some topics such as Burry–Carlson's theorem and Scott modules. The final chapter deals with the fundamental results of Brauer on blocks and Fong's theory of covering, and includes some approaches to them. This book is a valuable resource for readers who are interested in the various approaches to the study of the representations of groups.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 1294 pages
Book Rating : 4.X/5 (1 download)
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1976 with total page 1294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 974 pages
Book Rating : 4.3/5 (91 download)
Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1984 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.
Author :
Publisher :
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4.F/5 ( download)
Download or read book Comprehensive Dissertation Index: Mathematics & Statistics. Physics A-E written by and published by . This book was released on 1984 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.3/5 (91 download)
Download or read book Commentarii Mathematici Universitatis Sancti Pauli written by and published by . This book was released on 1974 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
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ISBN 13 :
Total Pages : 638 pages
Book Rating : 4.F/5 ( download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1975 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gregory Karpilovsky
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.3/5 (91 download)
Download or read book Projective Representations of Finite Groups written by Gregory Karpilovsky and published by . This book was released on 1985 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic account of this topic, from the classical foundations established by Schur 80 years ago to current advances and developments in the field. This work focuses on general methods and builds theory solidly on the study of modules over twisted group algebras, and provides a wide range of skill-sharpening mathematical techniques applicable to this subject. Offers an understanding of projective representations of finite groups for algebraists, number theorists, mathematical researchers studying modern algebra, and theoretical physicists.
Author : Ambar N. Sengupta
Publisher : Springer Science & Business Media
ISBN 13 : 1461412315
Total Pages : 383 pages
Book Rating : 4.4/5 (614 download)
Download or read book Representing Finite Groups written by Ambar N. Sengupta and published by Springer Science & Business Media. This book was released on 2011-12-09 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook presents the basics of representation theory for finite groups from the point of view of semisimple algebras and modules over them. The presentation interweaves insights from specific examples with development of general and powerful tools based on the notion of semisimplicity. The elegant ideas of commutant duality are introduced, along with an introduction to representations of unitary groups. The text progresses systematically and the presentation is friendly and inviting. Central concepts are revisited and explored from multiple viewpoints. Exercises at the end of the chapter help reinforce the material. Representing Finite Groups: A Semisimple Introduction would serve as a textbook for graduate and some advanced undergraduate courses in mathematics. Prerequisites include acquaintance with elementary group theory and some familiarity with rings and modules. A final chapter presents a self-contained account of notions and results in algebra that are used. Researchers in mathematics and mathematical physics will also find this book useful. A separate solutions manual is available for instructors.
