[PDF] Group Rings And Class Groups - eBooks Review

Group Rings And Class Groups


Group Rings And Class Groups
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Algebra Chapter 0


Algebra Chapter 0
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Author : Paolo Aluffi
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Algebra Chapter 0 written by Paolo Aluffi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.



A Course In Finite Group Representation Theory


A Course In Finite Group Representation Theory
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Author : Peter Webb
language : en
Publisher: Cambridge University Press
Release Date : 2016-08-19

A Course In Finite Group Representation Theory written by Peter Webb and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Mathematics categories.


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.



Algebra In Action A Course In Groups Rings And Fields


Algebra In Action A Course In Groups Rings And Fields
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Author : Shahriar Shahriar
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-08-16

Algebra In Action A Course In Groups Rings And Fields written by Shahriar Shahriar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-16 with Mathematics categories.


This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.



Group Theory And Computation


Group Theory And Computation
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Author : N.S. Narasimha Sastry
language : en
Publisher: Springer
Release Date : 2018-09-21

Group Theory And Computation written by N.S. Narasimha Sastry and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-21 with Mathematics categories.


This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.



Group Rings And Their Augmentation Ideals


Group Rings And Their Augmentation Ideals
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Author : I.B.S. Passi
language : en
Publisher: Springer
Release Date : 2006-11-15

Group Rings And Their Augmentation Ideals written by I.B.S. Passi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Representation Theory Of Algebras


Representation Theory Of Algebras
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Author : Raymundo Bautista
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Representation Theory Of Algebras written by Raymundo Bautista and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.


Addressed to graduate students and research mathematicians interested in associative rings and algebras. The 42 papers consider such topics as Frobenius functions on translation quivers, examples of distinguished tilting sequences on homogeneous varieties, separable deformations of blocks with abelian normal defect group and of derived equivalent global blocks, strong exact Borel sub-algebras and global dimensions of quasi-hereditary algebras, and the Auslander-Reiten quiver of restricted enveloping algebras. Also includes tributes to mathematician Maurice Auslander (1926-94). No index. Member prices are $77 for individuals and $103 for institutions. Annotation copyright by Book News, Inc., Portland, OR



Abstract Algebra


Abstract Algebra
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Author : Thomas W. Hungerford
language : en
Publisher: Brooks Cole
Release Date : 1997

Abstract Algebra written by Thomas W. Hungerford and has been published by Brooks Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.




Methods In Ring Theory


Methods In Ring Theory
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Author : Vesselin Drensky
language : en
Publisher: CRC Press
Release Date : 1998-03-27

Methods In Ring Theory written by Vesselin Drensky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-27 with Mathematics categories.


"Furnishes important research papers and results on group algebras and PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra."



Group Rings And Class Groups


Group Rings And Class Groups
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Author : K.W. Roggenkamp
language : en
Publisher:
Release Date : 1992-03-31

Group Rings And Class Groups written by K.W. Roggenkamp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-31 with categories.




Visual Group Theory


Visual Group Theory
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Author : Nathan Carter
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-06-08

Visual Group Theory written by Nathan Carter and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with Education categories.


Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.