An Introduction to Group Rings

An Introduction to Group Rings PDF

Author: César Polcino Milies

Publisher: Springer Science & Business Media

Published: 2002-01-31

Total Pages: 394

ISBN-13: 9781402002380

DOWNLOAD EBOOK →

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 .

The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings PDF

Author: Donald S. Passman

Publisher: Courier Corporation

Published: 2011-01-01

Total Pages: 754

ISBN-13: 0486482065

DOWNLOAD EBOOK →

"'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"--

Rings, Fields and Groups

Rings, Fields and Groups PDF

Author: R. B. J. T. Allenby

Publisher: Butterworth-Heinemann

Published: 1991

Total Pages: 383

ISBN-13: 9780340544402

DOWNLOAD EBOOK →

Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses

Groups, Rings, Modules

Groups, Rings, Modules PDF

Author: Maurice Auslander

Publisher: Courier Corporation

Published: 2014-06-01

Total Pages: 484

ISBN-13: 048679542X

DOWNLOAD EBOOK →

Classic monograph covers sets and maps, monoids and groups, unique factorization domains, localization and tensor products, applications of fundamental theorem, algebraic field extension, Dedekind domains, and much more. 1974 edition.

An Introduction to Algebraic Topology

An Introduction to Algebraic Topology PDF

Author: Joseph J. Rotman

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 447

ISBN-13: 1461245761

DOWNLOAD EBOOK →

A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.

Groups, Rings and Fields

Groups, Rings and Fields PDF

Author: David A.R. Wallace

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 256

ISBN-13: 1447104250

DOWNLOAD EBOOK →

This is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.

An Introduction to Rings and Modules

An Introduction to Rings and Modules PDF

Author: A. J. Berrick

Publisher: Cambridge University Press

Published: 2000-05

Total Pages: 286

ISBN-13: 9780521632744

DOWNLOAD EBOOK →

This is a concise 2000 introduction at graduate level to ring theory, module theory and number theory.

Rings, Fields and Groups

Rings, Fields and Groups PDF

Author: R. B. J. T. Allenby

Publisher: Hodder Education

Published: 1983

Total Pages: 422

ISBN-13:

DOWNLOAD EBOOK →

This book provides a stimulating and unusiual introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses in universities and polytechnics. The mixture of informal and formal presentation generates the enthusiasm of the reader without neglecting the axiomatic approach necessary for the serious study.

Classgroups of Group Rings

Classgroups of Group Rings PDF

Author: Martin J. Taylor

Publisher: Cambridge University Press

Published: 1984-04-12

Total Pages: 137

ISBN-13: 0521278708

DOWNLOAD EBOOK →

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.