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Author : Sally Rippin
Publisher :
ISBN 13 : 9781684641765
Total Pages : 42 pages
Book Rating : 4.6/5 (417 download)
Download or read book The Extra-special Group written by Sally Rippin and published by . This book was released on 2020 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spelling is hard for Jack. So is reading. He knows he needs some extra-special help, but will his friends make fun of him?
Author : I. Martin Isaacs
Publisher : American Mathematical Soc.
ISBN 13 : 0821842293
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)
Download or read book Character Theory of Finite Groups written by I. Martin Isaacs and published by American Mathematical Soc.. This book was released on 2006-11-21 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. The book begins by developing the module theory of complex group algebras. After the module-theoretic foundations are laid in the first chapter, the focus is primarily on characters. This enhances the accessibility of the material for students, which was a major consideration in the writing. Also with students in mind, a large number of problems are included, many of them quite challenging. In addition to the development of the basic theory (using a cleaner notation than previously), a number of more specialized topics are covered with accessible presentations. These include projective representations, the basics of the Schur index, irreducible character degrees and group structure, complex linear groups, exceptional characters, and a fairly extensive introduction to blocks and Brauer characters. This is a corrected reprint of the original 1976 version, later reprinted by Dover. Since 1976 it has become the standard reference for character theory, appearing in the bibliography of almost every research paper in the subject. It is largely self-contained, requiring of the reader only the most basic facts of linear algebra, group theory, Galois theory and ring and module theory.
Author : Peter Webb
Publisher : Cambridge University Press
ISBN 13 : 1107162394
Total Pages : 339 pages
Book Rating : 4.1/5 (71 download)
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.
Author : Máire O'Neill
Publisher : Springer
ISBN 13 : 3319710451
Total Pages : 392 pages
Book Rating : 4.3/5 (197 download)
Download or read book Cryptography and Coding written by Máire O'Neill and published by Springer. This book was released on 2017-12-05 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 16th IMA International Conference on Cryptography and Coding, IMACC 2017, held at Oxford, UK, in December 2017. The 19 papers presented were carefully reviewed and selected from 32 submissions. The conference focuses on a diverse set of topics both in cryptography and coding theory.
Author : Daniel Gorenstein
Publisher : American Mathematical Soc.
ISBN 13 : 0821843427
Total Pages : 546 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finite Groups written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 2007 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Classification Theorem is one of the main achievements of 20th century mathematics, but its proof has not yet been completely extricated from the journal literature in which it first appeared. This is the second volume in a series devoted to the presentation of a reorganized and simplified proof of the classification of the finite simple groups. The authors present (with either proof or reference to a proof) those theorems of abstract finite group theory, which are fundamental to the analysis in later volumes in the series. This volume provides a relatively concise and readable access to the key ideas and theorems underlying the study of finite simple groups and their important subgroups. The sections on semisimple subgroups and subgroups of parabolic type give detailed treatments of these important subgroups, including some results not available until now or available only in journal literature. The signalizer section provides an extensive development of both the Bender Method and the Signalizer Functor Method, which play a central role in the proof of the Classification Theorem. This book would be a valuable companion text for a graduate group theory course."--Publisher's website
Author : Scott Westerfeld
Publisher : Simon and Schuster
ISBN 13 : 1847389236
Total Pages : 345 pages
Book Rating : 4.8/5 (473 download)
Download or read book Extras written by Scott Westerfeld and published by Simon and Schuster. This book was released on 2010-05-27 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the end of Specials, the conclusion to the Uglies trilogy, things in Tally's futuristic world had stabilised. The walls between the social classes - the uglies, pretties and specials - had been torn down. So Tally took off to live on her own in the wild. Fast forward... Tally discovers another brand new world. In Extras, it's all about who you know, and how much you have. It's just like LA. Only Paris and Nicole are way dead...
Author : Daniel Gorenstein
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803905
Total Pages : 246 pages
Book Rating : 4.8/5 (39 download)
Download or read book The Classification of the Finite Simple Groups, Number 2 written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1994 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume of a series devoted to reorganizing and simplifying proof of the classification of the finite simple groups. In a single chapter, it lays the groundwork for the forthcoming analysis of finite simple groups, beginning with the theory of components, layers, and the generalized Fitting subgroup, which has been developed largely since Gorenstein's basic 1968 text and is now central to understanding the structure of finite groups. Suitable as an auxiliary text for a graduate course in group theory. Member prices are $35 for individual and $47 for institutions. Annotation copyright by Book News, Inc., Portland, OR
Author : Alejandro Adem
Publisher : Springer Science & Business Media
ISBN 13 : 3662062828
Total Pages : 333 pages
Book Rating : 4.6/5 (62 download)
Download or read book Cohomology of Finite Groups written by Alejandro Adem and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, and describes the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of important classes of groups including symmetric groups, alternating groups, finite groups of Lie type, and some of the sporadic simple groups, enable readers to acquire an in-depth understanding of group cohomology and its extensive applications.
Author : Michael Aschbacher
Publisher : American Mathematical Soc.
ISBN 13 : 082183410X
Total Pages : 496 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Classification of Quasithin Groups written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2004 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two volumes, this text offers results that are used in the proof of the main theoremthat lies behind quasithin groups, an class of finite simple groups. Some results are gathered from existing mathematical literature, but many are proven for the first time.
Author : Olaf Manz
Publisher : Cambridge University Press
ISBN 13 : 0521397391
Total Pages : 318 pages
Book Rating : 4.5/5 (213 download)
Download or read book Representations of Solvable Groups written by Olaf Manz and published by Cambridge University Press. This book was released on 1993-09-16 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representation theory plays an important role in algebra, and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups. The authors begin by studying modules over finite fields, which arise naturally as chief factors of solvable groups. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable groups. The authors include proofs of Brauer's height zero conjecture and the Alperin-McKay conjecture for solvable groups. Gluck's permutation lemma and Huppert's classification of solvable two-transive permutation groups, which are essentially results about finite modules of finite groups, play important roles in the applications and a new proof is given of the latter. Researchers into group theory, representation theory, or both, will find that this book has much to offer.
Author : Derek J.S. Robinson
Publisher : Springer Science & Business Media
ISBN 13 : 1441985948
Total Pages : 518 pages
Book Rating : 4.4/5 (419 download)
Download or read book A Course in the Theory of Groups written by Derek J.S. Robinson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties." —-ACTA SCIENTIARUM MATHEMATICARUM
Author : M. Aschbacher
Publisher : Cambridge University Press
ISBN 13 : 9780521786751
Total Pages : 320 pages
Book Rating : 4.7/5 (867 download)
Download or read book Finite Group Theory written by M. Aschbacher and published by Cambridge University Press. This book was released on 2000-06-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the basic foundations for the local theory of finite groups, the theory of classical linear groups, and the theory of buildings and BN-pairs.
Author :
Publisher : Elsevier
ISBN 13 : 0080871186
Total Pages : 173 pages
Book Rating : 4.0/5 (88 download)
Download or read book Finite Groups Æ72 written by and published by Elsevier. This book was released on 2011-09-21 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Groups Æ72
Author : Gregory Karpilovsky
Publisher : Elsevier
ISBN 13 : 1483295095
Total Pages : 919 pages
Book Rating : 4.4/5 (832 download)
Download or read book Group Representations written by Gregory Karpilovsky and published by Elsevier. This book was released on 2016-06-06 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume deals with projective representations and the Schur multiplier. Some further topics pertaining to projective representations will be covered in the next volume. The bibliography is extensive, leading the reader to various references for detailed discussions on the main topics as well as on related subjects.
Author : William R. Scott
Publisher : Academic Press
ISBN 13 : 1483261085
Total Pages : 580 pages
Book Rating : 4.4/5 (832 download)
Download or read book Proceedings of the Conference on Finite Groups written by William R. Scott and published by Academic Press. This book was released on 2014-05-10 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Conference on Finite Groups provides information pertinent to the fundamental aspects of finite group theory. This book presents the problem of characterizing simple groups in terms of the local structure of a group. Organized into five parts encompassing 43 chapters, this book begins with an overview of the characterization of the Chevalley groups over fields of odd order and indicates the role of this characterization in the theory of component type groups. This text then examines the structure as well as the representations of specific simple groups. Other chapters consider the general theory of representations and characters of finite groups. This book discusses as well permutation groups and the connection between group theory and geometry. The final chapter deals with finite solvable groups as well as the theory of formations. This book is a valuable resource for mathematicians, graduate students, and research workers.
Author : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 0521477492
Total Pages : 320 pages
Book Rating : 4.5/5 (214 download)
Download or read book Groups '93 Galway/St Andrews: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 1995-03-16 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representing the wealth and diversity of group theory for experienced researchers as well as new postgraduates, this two-volume book contains selected papers from the international conference which was held at University College Galway in August 1993.
Author : Irving Reiner
Publisher : American Mathematical Soc.
ISBN 13 : 0821814214
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representation Theory of Finite Groups and Related Topics written by Irving Reiner and published by American Mathematical Soc.. This book was released on 1971 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This symposium, on Representation Theory of Finite Groups and Related Topics, was held in conjunction with a sectional meeting of the American Mathematical Society, and in honor of professor Richard Brauer. Dr. Brauer's fundamental work in representation theory is at the heart of many further developments in the topic. These proceedings contain the articles of participants, based on their symposium presentations, and indicate the scope of current research in representation theory.
