ENGLISH

Group Ring Groups - Volume 2 : Structure Theorems of Unit Groups

By Eric Jespers , Angel del Rio

Book information

Publisher
de Gruyter
Year
2016
ISBN
3110411504, 9783110411508
Language
english
Format
PDF
Filesize
8 MB (8409922 bytes)
Series
De Gruyter Textbook
Pages
228\228
Topic
Mathematics Algebra
Time added
2015-12-01 09:13:54
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Description

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.

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