On the Automorphism Group of an Integral Group Ring

On the Automorphism Group of an Integral Group Ring PDF Author: Gary Lee Peterson
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 196

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On the Automorphism Group of an Integral Group Ring

On the Automorphism Group of an Integral Group Ring PDF Author: Gary Lee Peterson
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 196

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Book Description


Methods in Ring Theory

Methods in Ring Theory PDF Author: Freddy Van Oystaeyen
Publisher: Springer Science & Business Media
ISBN: 9400963696
Category : Mathematics
Languages : en
Pages : 569

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Book Description
Proceedings of the NATO Advanced Study Institute, Antwerp, Belgium, August 2-12, 1983

Methods in Ring Theory

Methods in Ring Theory PDF Author: Vesselin Drensky
Publisher: CRC Press
ISBN: 9780824701833
Category : Mathematics
Languages : en
Pages : 332

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Book Description
"Furnishes important research papers and results on group algebras and PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra."

Infinite Groups And Group Rings - Proceedings Of The Ams Special Session

Infinite Groups And Group Rings - Proceedings Of The Ams Special Session PDF Author: Jon M Corson
Publisher: World Scientific
ISBN: 9814551910
Category :
Languages : en
Pages : 158

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Book Description
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.

Modules over the Integral Group Ring of a Non-Abelian Group of Order $pq$

Modules over the Integral Group Ring of a Non-Abelian Group of Order $pq$ PDF Author: Lee Klingler
Publisher: American Mathematical Soc.
ISBN: 0821823434
Category : Group rings
Languages : en
Pages : 138

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Book Description
By using pullbacks, we obtain a description of finitely generated modules over the integral group ring of a non-abelian group of order [italic]pq. The description is detailed enough to obtain information about the behavior of the modules in direct sums. We make the description more precise by relating it to the locally free class group of the integral group ring.

Orders and their Applications

Orders and their Applications PDF Author: Irving Reiner
Publisher: Springer
ISBN: 3540396012
Category : Mathematics
Languages : en
Pages : 319

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Book Description
With contributions by numerous experts

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.

Representation Theory of Finite Groups and Finite-Dimensional Algebras

Representation Theory of Finite Groups and Finite-Dimensional Algebras PDF Author: Michler
Publisher: Birkhäuser
ISBN: 3034886586
Category : Mathematics
Languages : en
Pages : 526

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Book Description
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.

Alternative Loop Rings

Alternative Loop Rings PDF Author: E.G. Goodaire
Publisher: Elsevier
ISBN: 008052706X
Category : Mathematics
Languages : en
Pages : 404

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Book Description
For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously.One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is a very close relationship between the algebraic structures of loop rings and of group rings over 2-groups.Another major topic of research is the study of the unit loop of the integral loop ring. Here the interaction between loop rings and group rings is of immense interest.This is the first survey of the theory of alternative loop rings and related issues. Due to the strong interaction between loop rings and certain group rings, many results on group rings have been included, some of which are published for the first time. The authors often provide a new viewpoint and novel, elementary proofs in cases where results are already known.The authors assume only that the reader is familiar with basic ring-theoretic and group-theoretic concepts. They present a work which is very much self-contained. It is thus a valuable reference to the student as well as the research mathematician. An extensive bibliography of references which are either directly relevant to the text or which offer supplementary material of interest, are also included.

Integral Closure of Ideals, Rings, and Modules

Integral Closure of Ideals, Rings, and Modules PDF Author: Craig Huneke
Publisher: Cambridge University Press
ISBN: 0521688604
Category : Mathematics
Languages : en
Pages : 446

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Book Description
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.