An Introduction to Group Rings (Algebra and Applications, 1) - Softcover
Book 1 of 29: Algebra and Applications
Synopsis
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 © 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 .
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for An Introduction to Group Rings (Algebra and Applications,...
Seller Image
Introduction to Group Rings
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 788259-n
Stock Image
An Introduction to Group Rings (Algebra and Applications, 1)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9781402002397_new
Buy New
US$ 173.51
US$ 15.82 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Introduction to Group Rings
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 788259
Stock Image
Introduction to Group Rings
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 788259-n
Buy New
US$ 173.49
US$ 19.80 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
Introduction to Group Rings
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 788259
Buy Used
US$ 192.08
US$ 19.80 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
An Introduction to Group Rings
Published by
Springer Netherlands, 2002
ISBN 10: 1402002394
ISBN 13: 9781402002397
New
Kartoniert / Broschiert
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Preface. 1. Groups. 2. Rings, Modules and Algebras. 3. Group Rings. 4. A Glance at Group Representations. 5. Group Characters. 6. Ideals in Group Rings. 7. Algebraic Elements. 8. Units of Group Rings. 9. The Isomorphism Problem. 10. Free Group of Units. 11. Seller Inventory # 4091684
Buy New
US$ 171.06
US$ 56.13 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: Over 20 available
Stock Image
An Introduction to Group Rings
Published by
Kluwer Academic Publishers, 2002
ISBN 10: 1402002394
ISBN 13: 9781402002397
New
Softcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. Group rings play a central role in the theory of representations of groups and are very interesting algebraic objects in their own right. In their study, many branches of algebra come to an interplay. This book takes the reader from beginning to research level. It is suitable for mathematicians working in the area of group rings. Series: Algebras & Applications S. Num Pages: 371 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 240 x 160 x 20. Weight in Grams: 537. . 2002. Softcover reprint of the original 1st ed. 2002. Paperback. . . . . Seller Inventory # V9781402002397
Buy New
US$ 248.62
US$ 12.03 shipping
Ships from Ireland to U.S.A.
Ships from Ireland to U.S.A.
Quantity: 15 available
Seller Image
An Introduction to Group Rings
Published by
Springer, Springer Feb 2002, 2002
ISBN 10: 1402002394
ISBN 13: 9781402002397
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1 Groups.- 1.1 Basic Concepts.- 1.2 Homomorphisms and Factor Groups.- 1.3 Abelian Groups.- 1.4 Group Actions, p-groups and Sylow Subgroups.- 1.5 Solvable and Nilpotent Groups.- 1.6 FC Groups.- 1.7 Free Groups and Free Products.- 1.8 Hamiltonian Groups.- 1.9 The Hirsch Number.- 2 Rings, Modules and Algebras.- 2.1 Rings and Ideals.- 2.2 Modules and Algebras.- 2.3 Free Modules and Direct Sums.- 2.4 Finiteness Conditions.- 2.5 Semisimplicity.- 2.6 The Wedderburn-Artin Theorem.- 2.7 The Jacobson Radical.- 2.8 Rings of Algebraic Integers.- 2.9 Orders.- 2.10 Tensor Products.- 3 Group Rings.- 3.1 A Brief History.- 3.2 Basic Facts.- 3.3 Augmentation Ideals.- 3.4 Semisimplicity.- 3.5 Abelian Group Algebras.- 3.6 Some Commutative Subalgebras.- 4 A Glance at Group Representations.- 4.1 Definition and Examples.- 4.2 Representations and Modules.- 5 Group Characters.- 5.1 Basic Facts.- 5.2 Characters and Isomorphism Questions.- 6 Ideals in Group Rings.- 6.1 Ring Theoretic Formulas.- 6.2 Nilpotent Ideals.- 6.3 Nilpotent Augmentation Ideals.- 6.4 Semiprime Group Rings.- 6.5 Prime Group Rings.- 6.6 Chain Conditions in KG.- 7 Algebraic Elements.- 7.1 Introduction.- 7.2 Idempotent Elements.- 7.3 Torsion Units.- 7.4 Nilpotent Elements.- 8 Units of Group Rings.- 8.1 Introduction.- 8.2 Trivial Units.- 8.3 Finite Groups.- 8.4 Units of ZS3.- 8.5 Infinite Groups.- 8.6 Finite Generation of U(ZG).- 8.7 Central Units.- 9 The Isomorphism Problem.- 9.1 Introduction.- 9.2 The Normal Subgroup Correspondence.- 9.3 Metabelian Groups.- 9.4 Circle Groups.- 9.5 Further Results.- 9.6 The Modular Isomorphism Problem.- 10 Free Groups of Units.- 10.1 Free Groups.- 10.2 Free Groups of Units.- 10.3 Explicit Free Groups.- 10.4 Explicit Free Groups in H.- 11 Properties of the Unit Group.- 11.1 Integral Group Rings.- 11.2 Group Algebras.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 384 pp. Englisch. Seller Inventory # 9781402002397
Buy New
US$ 202.04
US$ 68.75 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: 1 available
Stock Image
An Introduction to Group Rings
Published by
Kluwer Academic Publishers, 2008
ISBN 10: 1402002394
ISBN 13: 9781402002397
New
Softcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Group rings play a central role in the theory of representations of groups and are very interesting algebraic objects in their own right. In their study, many branches of algebra come to an interplay. This book takes the reader from beginning to research level. It is suitable for mathematicians working in the area of group rings. Series: Algebras & Applications S. Num Pages: 371 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 240 x 160 x 20. Weight in Grams: 537. . 2002. Softcover reprint of the original 1st ed. 2002. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9781402002397