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portada Orders and Generic Constructions of Units: 1 (de Gruyter Textbook) (in English)
Type
Physical Book
Publisher
Year
2015
Language
English
Pages
447
Format
Hardcover
ISBN13
9783110372786
Categories

Orders and Generic Constructions of Units: 1 (de Gruyter Textbook) (in English)

Eric Jespers; Angel Del Rio (Author) · De Gruyter · Hardcover

Orders and Generic Constructions of Units: 1 (de Gruyter Textbook) (in English) - Eric Jespers; Angel Del Rio

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Synopsis "Orders and Generic Constructions of Units: 1 (de Gruyter Textbook) (in 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 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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The book is written in English.
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