Group Ring Groups - Volume 1 : Orders an
โ Eric Jespers, Angel del Rio
๐ Library
๐
2015
๐ De Gruyter
๐ English
โฆ LIBER โฆ
๐
Group Ring Groups: Volume 1 Orders and Generic Constructions of Units
- Publisher
- De Gruyter
- Year
- 2015
- Tongue
- English
- Leaves
- 459
- Category
- Library
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โฆ Synopsis
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.
- Elementary techniques are introduced to built up an intuition for the topic
- Gives an overview and structure to a vibrant field of mathematics
๐ SIMILAR VOLUMES
Group Ring Groups: Volume 1 Orders and G
๐ Library
๐
2015
๐ De Gruyter
๐ English
<p>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
Group Ring Groups - Volume 2 : Structure
โ Eric Jespers, Angel del Rio
๐ Library
๐
2016
๐ De Gruyter
๐ English
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 add
Group Ring Groups: Volume 2 Structure Th
โ Eric Jespers; รngel del Rรญo
๐ Library
๐
2015
๐ De Gruyter
๐ English
<p>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
Group Ring Groups: Volume 2 Structure Th
โ Eric Jespers; รngel del Rรญo
๐ Library
๐
2015
๐ De Gruyter
๐ English
<p>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
Class Groups and Picard Groups of Group
โ I. Reiner
๐ Library
๐
1976
๐ Published for the Conference Board of the Mathemat
๐ English