Unit Groups Of P Adic Group Rings

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Unit Groups Of P Adic Group Rings

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Author : Xiao Chen
language : en
Publisher:
Release Date : 1997

Unit Groups Of P Adic Group Rings written by Xiao Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Unit Groups Of Group Rings

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Author : Gregory Karpilovsky
language : en
Publisher: Longman Scientific and Technical
Release Date : 1989

Unit Groups Of Group Rings written by Gregory Karpilovsky and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

Structure Theorems Of Unit Groups

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Author : Eric Jespers
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-11-13

Structure Theorems Of Unit Groups written by Eric Jespers and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-13 with Mathematics categories.

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.

Groups Rings Group Rings And Hopf Algebras

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Author : Jeffrey Bergen
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-04-24

Groups Rings Group Rings And Hopf Algebras written by Jeffrey Bergen 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 2017-04-24 with Mathematics categories.

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 Class Groups

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Author : K.W. Roggenkamp
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-03-31

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

"The workshops organized by the gesellschaft fur mathematische Forschung in cooperation with the Deutsche Mathematiker-Vereingung (German Mathematics Society) are intended to help, in particular, students and younger mathematicians, to obtain an introduction to fields of current research. Through the means of these well-organized seminars, scientists and younger mathematicians, to obtain an introduction to fields of current research. Through the means of these well-organized seminars, scientists form other fields can also be introduced to new mathematical ideas. The publication of these workshops in the series DMV SEMINAR will make all the material available to an even wider audience." --Publisher.

Infinite Groups And Group Rings Proceedings Of The Ams Special Session

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Author : Jon M Corson
language : en
Publisher: World Scientific
Release Date : 1993-09-07

Infinite Groups And Group Rings Proceedings Of The Ams Special Session written by Jon M Corson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-07 with categories.

This proceedings volume consists of contributed papers which deal with diverse topics ranging from logical questions to geometric methods and covering both integral group rings and group algebras. Some papers are research announcements, or of a descriptive nature, while others are research papers.

Unit Groups Of Classical Rings

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Author : Gregory Karpilovsky
language : en
Publisher:
Release Date : 1988

Unit Groups Of Classical Rings written by Gregory Karpilovsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

The purpose of this book is to give a self-contained, up-to-date account of the structure of unit groups of classical rings. In so doing, the work draws together four areas of mathematics: ring theory, group theory, group representation theory, and algebraic number theory. The ensuing interplay between these disciplines provides a unique source of enrichment for each of them. The main theme centers on two related problems: to determine the isomorphism class of the unit group (U)R of ring R in terms of natural invariants associated with R; and to find an effective method for the construction of units of ring R. Various threads of the development are tied together to convey a comprehensive picture of the current state of the subject. Examples are provided to help research workers who need to compute explicitly unit groups of certain rings. A familiarity with basic ring-theoretic and group-theoretic concepts is assumed, but a chapter on algebraic preliminaries is included. The text is distinguished by its very clear exposition.

An Introduction To Group Rings

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Author : César Polcino Milies
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-01-31

An Introduction To Group Rings written by César Polcino Milies and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-31 with Mathematics categories.

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 .

Representation Theory Group Rings And Coding Theory

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Author : M. Isaacs
language : en
Publisher: American Mathematical Soc.
Release Date : 1989

Representation Theory Group Rings And Coding Theory written by M. Isaacs 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 1989 with Computers categories.

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.

Representation Theory Of Finite Groups And Finite Dimensional Algebras

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Author : Michler
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Representation Theory Of Finite Groups And Finite Dimensional Algebras written by Michler and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di mensional Algebras". The proposal for this project was submitted by B. Huppert (Mainz), B. Fischer (Bielefeld), G. Michler (Essen), H. Pahlings (Aachen) and C. M. Ringel (Bielefeld) in order to strengthen the interaction between the different re search areas in representation theory. The Deutsche Forschungsgemeinschaft has given many research positions and fellowships for young algebraists enabling them to do research at their own uni versities or as visitors at well known research institutions in America, Australia, England and France. The whole project benefitted very much from an extensive exchange programme between German and American scientists sponsored by the Deutsche Forschungsgemeinschaft and by the National Science Foundation of the United States. This volume presents lectures given in a final conference and reports by members of the project. It is divided into two parts. The first part contains seven survey articles describing recent advances in different areas of representation theory. These articles do not only concentrate on the work done by the German research groups, but also inform on major developments of the subject at all. The volume omits those topics already treated in book form. In particular, it does not contain a survey on K.