Structure Theory For Canonical Classes Of Finite Groups PDF Download
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| Author | : Wenbin Guo |
| Publisher | : Springer |
| Total Pages | : 369 |
| Release | : 2015-04-23 |
| Genre | : Mathematics |
| ISBN | : 3662457474 |
Download Structure Theory for Canonical Classes of Finite Groups Book in PDF, ePub and Kindle
This book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications. In particular, the related systematic theories are considered and some new approaches and research methods are described – e.g., the F-hypercenter of groups, X-permutable subgroups, subgroup functors, generalized supplementary subgroups, quasi-F-group, and F-cohypercenter for Fitting classes. At the end of each chapter, we provide relevant supplementary information and introduce readers to selected open problems.
| Author | : Peter Webb |
| Publisher | : Cambridge University Press |
| Total Pages | : 339 |
| Release | : 2016-08-19 |
| Genre | : Mathematics |
| ISBN | : 1107162394 |
Download A Course in Finite Group Representation Theory Book in PDF, ePub and Kindle
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 | : Adolfo Ballester-Bollinches |
| Publisher | : Springer |
| Total Pages | : 381 |
| Release | : 2009-09-03 |
| Genre | : Mathematics |
| ISBN | : 9789048108329 |
Download Classes of Finite Groups Book in PDF, ePub and Kindle
This book covers the latest achievements of the Theory of Classes of Finite Groups. It introduces some unpublished and fundamental advances in this Theory and provides a new insight into some classic facts in this area. By gathering the research of many authors scattered in hundreds of papers the book contributes to the understanding of the structure of finite groups by adapting and extending the successful techniques of the Theory of Finite Soluble Groups.
| Author | : Adolfo Ballester-Bolinches |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 391 |
| Release | : 2006-07-10 |
| Genre | : Mathematics |
| ISBN | : 1402047193 |
Download Classes of Finite Groups Book in PDF, ePub and Kindle
This book covers the latest achievements of the Theory of Classes of Finite Groups. It introduces some unpublished and fundamental advances in this Theory and provides a new insight into some classic facts in this area. By gathering the research of many authors scattered in hundreds of papers the book contributes to the understanding of the structure of finite groups by adapting and extending the successful techniques of the Theory of Finite Soluble Groups.
| Author | : Benjamin Steinberg |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 166 |
| Release | : 2011-10-23 |
| Genre | : Mathematics |
| ISBN | : 1461407761 |
Download Representation Theory of Finite Groups Book in PDF, ePub and Kindle
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.
| Author | : Markus Linckelmann |
| Publisher | : Cambridge University Press |
| Total Pages | : 524 |
| Release | : 2018-05-24 |
| Genre | : Mathematics |
| ISBN | : 1108589219 |
Download The Block Theory of Finite Group Algebras: Book in PDF, ePub and Kindle
This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.
| Author | : Markus Linckelmann |
| Publisher | : Cambridge University Press |
| Total Pages | : 523 |
| Release | : 2018-05-24 |
| Genre | : Mathematics |
| ISBN | : 1108562582 |
Download The Block Theory of Finite Group Algebras: Volume 2 Book in PDF, ePub and Kindle
This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.
| Author | : Ronald Solomon |
| Publisher | : Walter de Gruyter |
| Total Pages | : 164 |
| Release | : 2012-05-02 |
| Genre | : Mathematics |
| ISBN | : 3110806290 |
Download Representation Theory of Finite Groups Book in PDF, ePub and Kindle
Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
| Author | : Klaus Doerk |
| Publisher | : Walter de Gruyter |
| Total Pages | : 912 |
| Release | : 2011-04-20 |
| Genre | : Mathematics |
| ISBN | : 3110870134 |
Download Finite Soluble Groups Book in PDF, ePub and Kindle
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
| Author | : Adolfo Ballester-Bolinches |
| Publisher | : Walter de Gruyter |
| Total Pages | : 347 |
| Release | : 2010-10-19 |
| Genre | : Mathematics |
| ISBN | : 311022061X |
Download Products of Finite Groups Book in PDF, ePub and Kindle
The study of finite groups factorised as a product of two or more subgroups has become a subject of great interest during the last years with applications not only in group theory, but also in other areas like cryptography and coding theory. It has experienced a big impulse with the introduction of some permutability conditions. The aim of this book is to gather, order, and examine part of this material, including the latest advances made, give some new approach to some topics, and present some new subjects of research in the theory of finite factorised groups. Some of the topics covered by this book include groups whose subnormal subgroups are normal, permutable, or Sylow-permutable, products of nilpotent groups, and an exhaustive structural study of totally and mutually permutable products of finite groups and their relation with classes of groups. This monograph is mainly addressed to graduate students and senior researchers interested in the study of products and permutability of finite groups. A background in finite group theory and a basic knowledge of representation theory and classes of groups is recommended to follow it.
