Download or read book Units in Whitehead Groups of Finite Groups written by Bruce Magurn and published by . This book was released on 1982 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Whitehead Groups of Finite Groups written by Robert Oliver and published by Cambridge University Press. This book was released on 1988-02-25 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book's aim is to make accessible techniques for studying Whitehead groups of finite groups, as well as a variety of related topics such as induction theory and p-adic logarithms. The author has included a lengthy introduction to set the scene for non-specialists who want an overview of the field, its history and its applications. The rest of the book consists of three parts: general theory, group rings of p-groups and general finite groups. The book will be welcomed by specialists in K- and L-theory and by algebraists in general as a state-of-the art survey of the area.

Download or read book The Dirichlet Unit Theorem Induced Characters and Whitehead Groups of Finite Groups written by Hyman Bass and published by . This book was released on 1965 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Structure Theorems of Unit Groups written by Eric Jespers and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-11-13 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Logarithmic Descriptions of Whitehead Groups and Class Groups for p Groups written by Robert Oliver and published by American Mathematical Soc.. This book was released on 1988 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: P-adic logarithms are used to translate localization sequences, involving multiplicative groups of units, to simpler additive descriptions of [italic]D([double-struck]Z[italic]G) and [bold]Wh′([italic]G) for the [italic]p-group [italic]G. The goal of this paper is to work out a procedure for using logarithms to translate the localization sequences in to sequences involving additive groups.

Download or read book A Survey of Whitehead Groups of Finite Groups written by R. Oliver and published by . This book was released on 1985 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A survey of Whitehead groups of finite groups written by Oliver Oliver and published by . This book was released on 1985 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Unit Groups of Group Rings written by Gregory Karpilovsky and published by Longman Scientific and Technical. This book was released on 1989 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Units in Skew Fields written by Ernst Kleinert and published by Birkhäuser. This book was released on 2012-12-06 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a study of the unit groups of orders in skew fields, finite dimensional and central over the rational field; it thereby belongs to the field of noncommutative arithmetic. Its purpose is a synopsis of results and methods, including full proofs of the most important results. It is addressed to researchers in number theory and arithmetic groups.

Download or read book Groups Rings and Group Rings written by A. Giambruno and published by American Mathematical Soc.. This book was released on 2009 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.

Download or read book Representation Theory of Finite Groups and Finite Dimensional Algebras written by Michler and published by Birkhäuser. This book was released on 2012-12-06 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Orders and Generic Constructions of Units written by Eric Jespers and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-11-13 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Representation Theory of Finite Groups and Associative Algebras written by Charles W. Curtis and published by American Mathematical Soc.. This book was released on 1966 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A survey of Whitehead groups of finite groups written by Robert Oliver and published by . This book was released on 1985 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of Algebra written by and published by Elsevier. This book was released on 2003-10-15 with total page 1185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra

Download or read book Unit Groups of Classical Rings written by Gregory Karpilovsky and published by . This book was released on 1988 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Methods in Ring Theory written by Vesselin Drensky and published by CRC Press. This book was released on 2021-02-28 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."