Structure Theorems of Unit Groups
Group Ring Groups, Vol 2.
Seiten
2016
De Gruyter (Verlag)
978-3-11-041149-2 (ISBN)
De Gruyter (Verlag)
978-3-11-041149-2 (ISBN)
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.
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.
| Erscheint lt. Verlag | 13.11.2015 |
|---|---|
| Reihe/Serie | De Gruyter Textbook | Eric Jespers; Ángel del Río: Group Ring Groups ; Volume 2 |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 400 g |
| Einbandart | kartoniert |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Schlagworte | Algebra • Algebra and Number Theory • Feldtheorie • Finite Mathematik • group theory • Gruppentheorie • Mathematics • Mathematik • Ringtheorie |
| ISBN-10 | 3-11-041149-0 / 3110411490 |
| ISBN-13 | 978-3-11-041149-2 / 9783110411492 |
| Zustand | Neuware |
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