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Free Group Rings

Author : Narain Gupta
Publisher : American Mathematical Soc.
ISBN 13 : 0821850725
Total Pages : 144 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Free Group Rings by : Narain Gupta

Download or read book Free Group Rings written by Narain Gupta and published by American Mathematical Soc.. This book was released on 1987 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with some aspects of linear techniques in combinatorial group theory having their origin in the work of Wilhelm Magnus in the 1930s. The central theme is the identification and properties of those subgroups of free groups which are induced by certain ideals of the integral group rings of free groups. This subject has been developed extensively, and the author seeks to present, in contemporary style, a systematic and comprehensive account of some of its developments. Included in the book are a solution of the Fox subgroup problem and an up-to-date development of the dimension subgroup problem. Aimed at graduate students and researchers in combinatorial group theory, the book requires a familiarity with the general terminology of free groups and group rings.

An Introduction to Group Rings

Author : César Polcino Milies
Publisher : Springer Science & Business Media
ISBN 13 : 9781402002380
Total Pages : 394 pages
Book Rating : 4.0/5 (23 download)

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Book Synopsis An Introduction to Group Rings by : César Polcino Milies

Download or read book An Introduction to Group Rings written by César Polcino Milies and published by Springer Science & Business Media. This book was released on 2002-01-31 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: to Group Rings by Cesar Polcino Milies Instituto de Matematica e Estatistica, Universidade de sao Paulo, sao Paulo, Brasil and Sudarshan K. Sehgal Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton. Canada SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A c.I.P. Catalogue record for this book is available from the Library of Congress. ISBN 978-1-4020-0239-7 ISBN 978-94-010-0405-3 (eBook) DOI 10.1007/978-94-010-0405-3 Printed an acid-free paper AII Rights Reserved (c) 2002 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2002 Softcover reprint ofthe hardcover Ist edition 2002 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, inc1uding photocopying, recording Of by any information storage and retrieval system, without written permis sion from the copyright owner. Contents Preface ix 1 Groups 1 1.1 Basic Concepts . . . . . . . . . . . . 1 1.2 Homomorphisms and Factor Groups 10 1.3 Abelian Groups . 18 1.4 Group Actions, p-groups and Sylow Subgroups 21 1.5 Solvable and Nilpotent Groups 27 1.6 FC Groups .

Groups, Rings and Group Rings

Author : A. Giambruno
Publisher : American Mathematical Soc.
ISBN 13 : 0821847716
Total Pages : 283 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Groups, Rings and Group Rings by : A. Giambruno

Download or read book Groups, Rings and Group Rings written by A. Giambruno and published by American Mathematical Soc.. This book was released on 2009 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.

Classgroups of Group Rings

Author : Martin J. Taylor
Publisher : Cambridge University Press
ISBN 13 : 0521278708
Total Pages : 137 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Classgroups of Group Rings by : Martin J. Taylor

Download or read book Classgroups of Group Rings written by Martin J. Taylor and published by Cambridge University Press. This book was released on 1984-04-12 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained account of the theory of classgroups of group rings. The guiding philosophy has been to describe all the basic properties of such classgroups in terms of character functions. This point of view is due to A. Frohlich and it achieves a considerable simplification and clarity over previous techniques. A main feature of the book is the introduction of the author's group logarithm, with numerous examples of its application. The main results dealt with are: Ullom's conjecture for Swan modules of p-groups; the self-duality theorem for rings of integers of tame extensions; the fixed-point theorem for determinants of group rings; the existence of Adams operations on classgroups. In addition, the author includes a number of calculations of classgroups of specific families of groups such as generalized dihedral groups, and quaternion and dihedral 2-groups. The work contained in this book should be readily accessible to any graduate student in pure mathematics who has taken a course in the representation theory of finite groups. It will also be of interest to number theorists and algebraic topologists.

The Algebraic Structure of Group Rings

Author : Donald S. Passman
Publisher : Courier Corporation
ISBN 13 : 0486482065
Total Pages : 754 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis The Algebraic Structure of Group Rings by : Donald S. Passman

Download or read book The Algebraic Structure of Group Rings written by Donald S. Passman and published by Courier Corporation. This book was released on 2011-01-01 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: "'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--

Units in Integral Group Rings

Author : Sudarshan K. Sehgal
Publisher : Halsted Press
ISBN 13 : 9780470200087
Total Pages : 357 pages
Book Rating : 4.2/5 ( download)

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Book Synopsis Units in Integral Group Rings by : Sudarshan K. Sehgal

Download or read book Units in Integral Group Rings written by Sudarshan K. Sehgal and published by Halsted Press. This book was released on 1993-10-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Derived Equivalences for Group Rings

Author : Steffen König
Publisher : Springer
ISBN 13 : 3540697489
Total Pages : 256 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Derived Equivalences for Group Rings by : Steffen König

Download or read book Derived Equivalences for Group Rings written by Steffen König and published by Springer. This book was released on 2006-11-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications.

Infinite Group Theory: From The Past To The Future

Author : Paul Baginski
Publisher : World Scientific
ISBN 13 : 9813204060
Total Pages : 258 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Infinite Group Theory: From The Past To The Future by : Paul Baginski

Download or read book Infinite Group Theory: From The Past To The Future written by Paul Baginski and published by World Scientific. This book was released on 2017-12-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.

Groups, Rings, Group Rings, and Hopf Algebras

Author : Jeffrey Bergen
Publisher : American Mathematical Soc.
ISBN 13 : 1470428059
Total Pages : 294 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Groups, Rings, Group Rings, and Hopf Algebras by : Jeffrey Bergen

Download or read book Groups, Rings, Group Rings, and Hopf Algebras written by Jeffrey Bergen and published by American Mathematical Soc.. This book was released on 2017-04-24 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2–4, 2015 at Loyola University, Chicago, IL, and the AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras, held October 3–4, 2015, at Loyola University, Chicago, IL. Both conferences were held in honor of Donald S. Passman's 75th Birthday. Centered in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups.

Group Rings and Their Augmentation Ideals

Author : I.B.S. Passi
Publisher : Springer
ISBN 13 : 354035297X
Total Pages : 144 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Group Rings and Their Augmentation Ideals by : I.B.S. Passi

Download or read book Group Rings and Their Augmentation Ideals written by I.B.S. Passi and published by Springer. This book was released on 2006-11-15 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications

Author : Surender Kumar Jain
Publisher : American Mathematical Soc.
ISBN 13 : 0821842854
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications by : Surender Kumar Jain

Download or read book Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications written by Surender Kumar Jain and published by American Mathematical Soc.. This book was released on 2008 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this volume are based on talks given at the International Conference on Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications. The conference provided researchers in mathematics with the opportunity to discuss new developments in these rapidly growing fields. This book contains several excellent articles, both expository and original, with new and significant results. It is suitable for graduate students and researchers interested in Ring Theory,Diagram Algebras and related topics.

Elementary Theory of Groups and Group Rings, and Related Topics

Author : Paul Baginski
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311063838X
Total Pages : 272 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Elementary Theory of Groups and Group Rings, and Related Topics by : Paul Baginski

Download or read book Elementary Theory of Groups and Group Rings, and Related Topics written by Paul Baginski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-02-10 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.

Representation Theory, Group Rings, and Coding Theory

Author : M. Isaacs
Publisher : American Mathematical Soc.
ISBN 13 : 0821850989
Total Pages : 392 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representation Theory, Group Rings, and Coding Theory by : M. Isaacs

Download or read book Representation Theory, Group Rings, and Coding Theory written by M. Isaacs and published by American Mathematical Soc.. This book was released on 1989 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the memory of the Soviet mathematician S D Berman (1922-1987), this work covers topics including Berman's achievements in coding theory, including his pioneering work on abelian codes and his results on the theory of threshold functions.

Group and Semigroup Rings

Author : G. Karpilovsky
Publisher : Elsevier
ISBN 13 : 0080872379
Total Pages : 277 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Group and Semigroup Rings by : G. Karpilovsky

Download or read book Group and Semigroup Rings written by G. Karpilovsky and published by Elsevier. This book was released on 2011-09-22 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring. The survey lectures provide an up-to-date account of the current state of the subject and form a comprehensive introduction for intending researchers.

Artinian Modules over Group Rings

Author : Leonid Kurdachenko
Publisher : Birkhäuser
ISBN 13 : 9783764391522
Total Pages : 247 pages
Book Rating : 4.3/5 (915 download)

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Book Synopsis Artinian Modules over Group Rings by : Leonid Kurdachenko

Download or read book Artinian Modules over Group Rings written by Leonid Kurdachenko and published by Birkhäuser. This book was released on 2009-09-03 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights important developments on artinian modules over group rings of generalized nilpotent groups. Along with traditional topics such as direct decompositions of artinian modules, criteria of complementability for some important modules, and criteria of semisimplicity of artinian modules, it also focuses on recent advanced results on these matters.

Group Rings and Class Groups

Author : K.W. Roggenkamp
Publisher : Birkhäuser
ISBN 13 : 303488611X
Total Pages : 215 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Group Rings and Class Groups by : K.W. Roggenkamp

Download or read book Group Rings and Class Groups written by K.W. Roggenkamp and published by Birkhäuser. This book was released on 2012-12-06 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of the book centers around the isomorphism problem for finite groups; i.e. which properties of the finite group G can be determined by the integral group ring ZZG ? The authors have tried to present the results more or less selfcontained and in as much generality as possible concerning the ring of coefficients. In the first section, the class sum correspondence and some related results are derived. This part is the proof of the subgroup rigidity theorem (Scott - Roggenkamp; Weiss) which says that a finite subgroup of the p-adic integral group ring of a finite p-group is conjugate to a subgroup of the finite group. A counterexample to the conjecture of Zassenhaus that group basis are rationally conjugate, is presented in the semilocal situation (Scott - Roggenkamp). To this end, an extended version of Clifford theory for p-adic integral group rings is presented. Moreover, several examples are given to demonstrate the complexity of the isomorphism problem. The second part of the book is concerned with various aspects of the structure of rings of integers as Galois modules. It begins with a brief overview of major results in the area; thereafter the majority of the text focuses on the use of the theory of Hopf algebras. It begins with a thorough and detailed treatment of the required foundational material and concludes with new and interesting applications to cyclotomic theory and to elliptic curves with complex multiplication. Examples are used throughout both for motivation, and also to illustrate new ideas.

Associative and Non-Associative Algebras and Applications

Author : Mercedes Siles Molina
Publisher : Springer Nature
ISBN 13 : 3030352560
Total Pages : 338 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Associative and Non-Associative Algebras and Applications by : Mercedes Siles Molina

Download or read book Associative and Non-Associative Algebras and Applications written by Mercedes Siles Molina and published by Springer Nature. This book was released on 2020-01-02 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers together selected contributions presented at the 3rd Moroccan Andalusian Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three parts and features contributions from the following fields: algebraic and analytic methods in associative and non-associative structures; homological and categorical methods in algebra; and history of mathematics. Covering topics such as rings and algebras, representation theory, number theory, operator algebras, category theory, group theory and information theory, it opens up new avenues of study for graduate students and young researchers. The findings presented also appeal to anyone interested in the fields of algebra and mathematical analysis.