Structure Theorems of Unit Groups (De Gruyter Textbook, Band 2) - Softcover

Jespers, Eric; Del Río, Ángel

 
9783110411492: Structure Theorems of Unit Groups (De Gruyter Textbook, Band 2)
Softcover
ISBN 10: 3110411490 ISBN 13: 9783110411492
Verlag: De Gruyter, 2015

Inhaltsangabe

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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Von der hinteren Coverseite

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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Verlag
De Gruyter
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
3110411490
ISBN 13 
9783110411492
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
227
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