Group ring groups, volume 1 : orders and generic constructions of units
Material type:
TextSeries: De Gruyter graduatePublication details: Berlin : De Gruyter, 2025. Description: xii, 447 pages ; 24 cmISBN: 9783111700687Subject(s): Group rings -- Textbooks | Unit groups (Ring theory) -- Textbooks | Rings (Algebra) -- TextbooksDDC classification: 512.54 Online resources: Table of content | Reviews Summary: 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.
Elementary techniques are introduced to built up an intuition for the topic
Gives an overview and structure to a vibrant field of mathematics
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
NBHM Books
|
SMS Library | 512.54 JES-G (Browse shelf(Opens below)) | Available | N466 |
Includes bibliographical references and indexes.
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.
Elementary techniques are introduced to built up an intuition for the topic
Gives an overview and structure to a vibrant field of mathematics
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