Orders and Generic Constructions of Units

Group Ring Groups, Vol. 1.
Buch | Softcover
XII, 447 Seiten
2016
De Gruyter (Verlag)
978-3-11-037278-6 (ISBN)
49,95 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.

Eric Jespers, Vrije Universiteit Brussel, Belgium.

Ángel del Río Mateos, Universidad de Murcia, España.

"The authors have succeeded in giving an appealing treatment of units in group rings managing to convey the beauty as well as the hardship of the subject."
János Kurdics in: Zenralblatt MATH 1338

"This is a book written by two of the most prominent experts in the eld of group rings, covering most recent developments and organized in a modular and easily understandable way. So, enjoy the ride!"
Stanley Orlando Juriaans in: Mathematical Reviews University of Michigan, MR3618092 (05.2018)

Erscheint lt. Verlag 13.11.2015
Reihe/Serie De Gruyter Textbook
Eric Jespers; Ángel del Río: Group Ring Groups ; Volume 1
Verlagsort Berlin
Sprache englisch
Maße 170 x 240 mm
Gewicht 775 g
Einbandart kartoniert
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte Feldtheorie • Finite Mathematik • Gruppentheorie • Ringtheorie
ISBN-10 3-11-037278-9 / 3110372789
ISBN-13 978-3-11-037278-6 / 9783110372786
Zustand Neuware
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