Character Theory of Finite Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821842293
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Character Theory of Finite Groups by : I. Martin Isaacs

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.

The Extra-special Group

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Publisher :
ISBN 13 : 9781684641765
Total Pages : 42 pages
Book Rating : 4.6/5 (417 download)

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Book Synopsis The Extra-special Group by : Sally Rippin

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?

Tom Gates: Extra Special Treats ( . . . not)

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Author :
Publisher : Scholastic UK
ISBN 13 : 1407139509
Total Pages : 236 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Tom Gates: Extra Special Treats ( . . . not) by : Liz Pichon

Download or read book Tom Gates: Extra Special Treats ( . . . not) written by Liz Pichon and published by Scholastic UK. This book was released on 2013-10-03 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: It's really cold outside and we're all hoping it's going to snow. Yeah! Derek and I could make a snow Rooster and have a snowball fight (look out, Delia!). Granny Mavis has started to knit me a new winter jumper, but by the looks of things I'm not sure it's going to fit. . .

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.

The Extra-special Group

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Author :
Publisher : Hardie Grant Egmont
ISBN 13 : 1743583028
Total Pages : 27 pages
Book Rating : 4.7/5 (435 download)

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Book Synopsis The Extra-special Group by : Sally Rippin

Download or read book The Extra-special Group written by Sally Rippin and published by Hardie Grant Egmont. This book was released on 2015-03-01 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming story from the blockbuster chapter-book series, Jack discovers there’s always a new way to learn! In The Extra-special Group, Jack finds spelling hard. He has to go to a special spelling group. But what if the other kids make fun of him? From the Australian Children’s Laureate Sally Rippin comes this fantastic and beloved first chapter-book series. Every story follows Jack, a friendly, everyday kid who loves playing with his best friend, Billie. Created to help build emotional literacy, every book in the Hey Jack! series explores a particular emotion – such as worry, happiness, excitement or disappointment – in a relatable way for young readers. Whether it’s about friends, family or feelings, there’s no challenge Jack can’t figure out! With more than ten million books in print around the world, best-selling author Sally Rippin has helped a generation of readers love learning to read. Every Hey Jack! book is carefully designed with short chapters, decodable vocabulary and lots of illustrations, and there are no mountains of text or super-tricky words to intimidate the early reader. And there’s plenty of stories in the series to explore! For more wonderful series by Australian Children’s Laureate Sally Rippin, check out the Billie B Brown and School of Monsters series. Readers will love other books in the Hey Jack! series: The Winning Goal The Scary Solo The Robot Blues The Fire Truck The Big Mess The Class Party and many more!

The Extra-Special Helper

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Publisher : Kane/Miller Book Publishers
ISBN 13 : 9781610670999
Total Pages : 0 pages
Book Rating : 4.6/5 (79 download)

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Book Synopsis The Extra-Special Helper by : Sally Rippin

Download or read book The Extra-Special Helper written by Sally Rippin and published by Kane/Miller Book Publishers. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meet Billie B. Brown, brave, brilliant, bold, and bound to become your best friend! Brand-new readers will readily relate to this series of stand-alone, everyday adventures. Filled with true-to-life situations, warm family relationships, humorous illustrations and positive problem-solving, they're taking the early reader scene by storm! Billie's class is on a field trip to the zoo, and Billie is The Extra-special Helper. If only everyone would listen to her!

Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821898590
Total Pages : 136 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography by : Delaram Kahrobaei

Download or read book Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography written by Delaram Kahrobaei and published by American Mathematical Soc.. This book was released on 2015-02-25 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, held January 9-10, 2013 in San Diego, CA and the AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, held April 6-7, 2013 at Boston College, Chestnut Hill, MA. Over the past few years the field of group-based cryptography has attracted attention from both group theorists and cryptographers. The new techniques inspired by algorithmic problems in non-commutative group theory and their complexity have offered promising ideas for developing new cryptographic protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.

Extras

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Publisher : Simon and Schuster
ISBN 13 : 1847389236
Total Pages : 432 pages
Book Rating : 4.8/5 (473 download)

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Book Synopsis Extras by : Scott Westerfeld

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 432 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...

A Course in the Theory of Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 1441985948
Total Pages : 518 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Course in the Theory of Groups by : Derek J.S. Robinson

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

Cohomology of Finite Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 3662062828
Total Pages : 333 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Cohomology of Finite Groups by : Alejandro Adem

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.

Groups, Rings and Group Rings

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Publisher : CRC Press
ISBN 13 : 1420010964
Total Pages : 369 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Groups, Rings and Group Rings by : Antonio Giambruno

Download or read book Groups, Rings and Group Rings written by Antonio Giambruno and published by CRC Press. This book was released on 2006-01-20 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f

Finite Group Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521786751
Total Pages : 320 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Finite Group Theory by : M. Aschbacher

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.

The Classification of the Finite Simple Groups, Number 2

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821803905
Total Pages : 246 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis The Classification of the Finite Simple Groups, Number 2 by : Daniel Gorenstein

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

Cryptography and Coding

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Publisher : Springer
ISBN 13 : 3319710451
Total Pages : 393 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Cryptography and Coding by : Máire O'Neill

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 393 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.

Representations of Solvable Groups

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Publisher : Cambridge University Press
ISBN 13 : 0521397391
Total Pages : 318 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Representations of Solvable Groups by : Olaf Manz

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.

Finite Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821843427
Total Pages : 546 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Finite Groups by : Daniel Gorenstein

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

Representation Theory II. Proceedings of the Fourth International Conference on Representations of Algebras, held in Ottawa, Canada, August 16-25, 1984

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Author :
Publisher : Springer
ISBN 13 : 3540397779
Total Pages : 386 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Representation Theory II. Proceedings of the Fourth International Conference on Representations of Algebras, held in Ottawa, Canada, August 16-25, 1984 by : Vlastimil Dlab

Download or read book Representation Theory II. Proceedings of the Fourth International Conference on Representations of Algebras, held in Ottawa, Canada, August 16-25, 1984 written by Vlastimil Dlab and published by Springer. This book was released on 2006-11-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: