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Structure Theorems of Unit Groups: de Gruyter Textbook

Autor Eric Jespers, Ángel del Río
en Limba Engleză Paperback – 31 dec 2015
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. Supporting problems illustrate the results and complete some of the proofs.
Volume 2 mainly is about structure theorems and geometric methods.
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Specificații

ISBN-13: 9783110411492
ISBN-10: 3110411490
Pagini: 227
Dimensiuni: 170 x 240 x 15 mm
Greutate: 0.37 kg
Editura: De Gruyter
Colecția De Gruyter
Seria de Gruyter Textbook

Locul publicării:Berlin/Boston

Descriere

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.