Group Ring Groups Orders And Generic Constructions Of Units
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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 | : |
Publisher | : |
Total Pages | : 447 |
Release | : 2015 |
Genre | : |
ISBN | : |
Download Group Ring Groups, 1: Orders and Generic Constructions of Units 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 | : Eric Jespers |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 460 |
Release | : 2015-11-13 |
Genre | : Mathematics |
ISBN | : 3110372940 |
Download 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 | : Joseph Kirtland |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 156 |
Release | : 2017-09-11 |
Genre | : Mathematics |
ISBN | : 3110480212 |
Download Complementation of Normal Subgroups Book in PDF, Epub and Kindle
Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. Contents Prerequisites The Schur-Zassenhaus theorem: A bit of history and motivation Abelian and minimal normal subgroups Reduction theorems Subgroups in the chief series, derived series, and lower nilpotent series Normal subgroups with abelian sylow subgroups The formation generation Groups with specific classes of subgroups complemented
Author | : Eric Jespers |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 228 |
Release | : 2015-11-13 |
Genre | : Mathematics |
ISBN | : 3110411504 |
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 | : 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 | : Antonio Giambruno |
Publisher | : CRC Press |
Total Pages | : 369 |
Release | : 2006-01-20 |
Genre | : Mathematics |
ISBN | : 1420010964 |
Download Groups, Rings and Group Rings Book in PDF, Epub and Kindle
This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f
Author | : N.S. Narasimha Sastry |
Publisher | : Springer |
Total Pages | : 213 |
Release | : 2018-09-21 |
Genre | : Mathematics |
ISBN | : 9811320470 |
Download Group Theory and Computation Book in PDF, Epub and Kindle
This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.
Author | : |
Publisher | : |
Total Pages | : 786 |
Release | : 2017 |
Genre | : Mathematics |
ISBN | : |
Download Revista Matemática Iberoamericana Book in PDF, Epub and Kindle