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Eric Jespers; Ángel del Río: Group Ring Groups / Structure Theorems of Unit Groups

Buch | Softcover
227 Seiten
2025 | 1. A.
De Gruyter (Verlag)
978-3-11-170070-0 (ISBN)
CHF 15,30 inkl. MwSt
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.
Erscheinungsdatum
Reihe/Serie De Gruyter Textbook
Verlagsort Berlin
Sprache englisch
Maße 170 x 240 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 3-11-170070-4 / 3111700704
ISBN-13 978-3-11-170070-0 / 9783111700700
Zustand Neuware
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