Group Rings and Their Augmentation Ideals

Group Rings and Their Augmentation Ideals PDF Author: I.B.S. Passi
Publisher: Springer
ISBN: 354035297X
Category : Mathematics
Languages : en
Pages : 144

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Book Description

Group Rings and Their Augmentation Ideals

Group Rings and Their Augmentation Ideals PDF Author: I.B.S. Passi
Publisher: Springer
ISBN: 354035297X
Category : Mathematics
Languages : en
Pages : 144

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Book Description


The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings PDF Author: Donald S. Passman
Publisher: Courier Corporation
ISBN: 0486482065
Category : Mathematics
Languages : en
Pages : 754

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Book Description
"'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"--

Associative and Non-Associative Algebras and Applications

Associative and Non-Associative Algebras and Applications PDF Author: Mercedes Siles Molina
Publisher: Springer Nature
ISBN: 3030352560
Category : Mathematics
Languages : en
Pages : 338

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Book Description
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.

An Introduction to Group Rings

An Introduction to Group Rings PDF Author: César Polcino Milies
Publisher: Springer Science & Business Media
ISBN: 9781402002380
Category : Mathematics
Languages : en
Pages : 394

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Book Description
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 .

Unit Groups of Group Rings

Unit Groups of Group Rings PDF Author: Gregory Karpilovsky
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 418

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Book Description


Representation Theory, Group Rings, and Coding Theory

Representation Theory, Group Rings, and Coding Theory PDF Author: M. Isaacs
Publisher: American Mathematical Soc.
ISBN: 0821850989
Category : Computers
Languages : en
Pages : 392

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Book Description
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.

Groups, Rings and Algebras

Groups, Rings and Algebras PDF Author: Donald S. Passman
Publisher: American Mathematical Soc.
ISBN: 0821839047
Category : Mathematics
Languages : en
Pages : 314

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Book Description
This is a companion volume to the conference in honor of Donald S. Passman held in Madison, Wisconsin in June 2005. It contains research papers on Algebras, Group Rings, Hopf Algebras, Invariant Theory, Lie Algebras and their Enveloping Algebras, Noncommutative Algebraic Geometry, Noncommutative Rings, and other topics. The papers represent an important part of the latest research in these areas.

Structure Theorems of Unit Groups

Structure Theorems of Unit Groups PDF Author: Eric Jespers
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110412756
Category : Mathematics
Languages : en
Pages : 275

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Book Description
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.

Wreath Products of Groups and Semigroups

Wreath Products of Groups and Semigroups PDF Author: J D P Meldrum
Publisher: CRC Press
ISBN: 9780582026933
Category : Mathematics
Languages : en
Pages : 346

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Book Description
Wreath products have arisen in many situations in both group and semigroup theory, often providing examples of unexpected behavior, but also in quite fundamental settings. They occur in many applications in science, particularly in physics and chemistry.

Polynomial Identities in Algebras

Polynomial Identities in Algebras PDF Author: Onofrio Mario Di Vincenzo
Publisher: Springer Nature
ISBN: 3030631117
Category : Mathematics
Languages : en
Pages : 421

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Book Description
This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field.