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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 1 contains all details on describing generic constructions of units and their subgroups.
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"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
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János Kurdics in: Zenralblatt MATH 1338
Eric Jespers, Vrije Universiteit Brussel, Belgium; Angel del Rio Mateos, Universidad de Murcia, Espana.
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- PublisherDe Gruyter
- Publication date2016
- ISBN 10 3110372789
- ISBN 13 9783110372786
- BindingHardcover
- Number of pages460
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Group Ring Groups. Volume 1 Orders and Generic Constructions of Units
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Eric Jespers; Ángel del Río: Group Ring Groups Group Rings Groups. Vol.1
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Book Description Taschenbuch. Condition: Neu. Neuware -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. 447 pp. Englisch. Seller Inventory # 9783110372786
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Group Ring Groups, Orders and Generic Constructions of Units
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Book Description Taschenbuch. Condition: Neu. Neuware -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. 460 pp. Englisch. Seller Inventory # 9783110372786
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