Structure Theorems Of Unit Groups
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Author | : Eric Jespers |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 275 |
Release | : 2015-11-13 |
Genre | : Mathematics |
ISBN | : 3110412756 |
Download Structure Theorems of Unit Groups Book in PDF, Epub and Kindle
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.
Author | : Barbara Ann Clinger |
Publisher | : |
Total Pages | : 130 |
Release | : 1963 |
Genre | : Group theory |
ISBN | : |
Download Structure theorems for a class of groups Book in PDF, Epub and Kindle
Author | : Eric Jespers |
Publisher | : De Gruyter Textbook |
Total Pages | : 0 |
Release | : 2016 |
Genre | : Group rings |
ISBN | : 9783110411492 |
Download Group Ring Groups Book in PDF, Epub and Kindle
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.
Author | : Edward A. Peressini |
Publisher | : |
Total Pages | : 216 |
Release | : 1963 |
Genre | : Abelian groups |
ISBN | : |
Download Some Structure Theorems for P-groups Book in PDF, Epub and Kindle
Author | : Eric Jespers |
Publisher | : de Gruyter |
Total Pages | : 0 |
Release | : 2016 |
Genre | : Group rings |
ISBN | : 9783110372786 |
Download Group Ring Groups: Orders and generic constructions of units Book in PDF, Epub and Kindle
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.
Author | : Perry Edward Farley |
Publisher | : |
Total Pages | : 96 |
Release | : 1968 |
Genre | : Algebra, Abstract |
ISBN | : |
Download Structure Theorems on a Class of Finite Groups Book in PDF, Epub and Kindle
Author | : Vesselin Drensky |
Publisher | : CRC Press |
Total Pages | : 328 |
Release | : 2021-02-28 |
Genre | : Mathematics |
ISBN | : 1000657353 |
Download Methods in Ring Theory Book in PDF, Epub and Kindle
"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."
Author | : Karl H. Hofmann |
Publisher | : Walter de Gruyter |
Total Pages | : 948 |
Release | : 2013-08-29 |
Genre | : Mathematics |
ISBN | : 3110296799 |
Download The Structure of Compact Groups Book in PDF, Epub and Kindle
The subject matter of compact groups is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics. This book serves the dual purpose of providing a textbook on it for upper level graduate courses or seminars, and of serving as a source book for research specialists who need to apply the structure and representation theory of compact groups. After a gentle introduction to compact groups and their representation theory, the book presents self-contained courses on linear Lie groups, on compact Lie groups, and on locally compact abelian groups. Separate appended chapters contain the material for courses on abelian groups and on category theory. However, the thrust of the book points in the direction of the structure theory of not necessarily finite dimensional, nor necessarily commutative, compact groups, unfettered by weight restrictions or dimensional bounds. In the process it utilizes infinite dimensional Lie algebras and the exponential function of arbitrary compact groups. The first edition of 1998 and the second edition of 2006 were well received by reviewers and have been frequently quoted in the areas of instruction and research. For the present new edition the text has been cleaned of typographical flaws and the content has been conceptually sharpened in some places and polished and improved in others. New material has been added to various sections taking into account the progress of research on compact groups both by the authors and other writers. Motivation was provided, among other things, by questions about the structure of compact groups put to the authors by readers through the years following the earlier editions. Accordingly, the authors wished to clarify some aspects of the book which they felt needed improvement. The list of references has increased as the authors included recent publications pertinent to the content of the book.
Author | : James Glimm |
Publisher | : |
Total Pages | : 23 |
Release | : 1957 |
Genre | : |
ISBN | : |
Download Structure Theorems of Compact Groups Book in PDF, Epub and Kindle
Author | : Karl H. Hofmann |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 1034 |
Release | : 2020-06-08 |
Genre | : Mathematics |
ISBN | : 3110695995 |
Download The Structure of Compact Groups Book in PDF, Epub and Kindle
This book is designed both as a textbook for high-level graduate courses and as a reference for researchers who need to apply the structure and representation theory of compact groups. A gentle introduction to compact groups and their representation theory is followed by self-contained courses on linear and compact Lie groups, and on locally compact abelian groups. This fourth edition was updated with the latest developments in the field.