Unit Groups of Classical Rings - Rilegato

Karpilovsky, Gregory

 
9780198535577: Unit Groups of Classical Rings

Sinossi

The purpose of this book is to give a self-contained, up-to-date account of the structure of unit groups of classical rings. In so doing, the work draws together four areas of mathematics: ring theory, group theory, group representation theory, and algebraic number theory. The ensuing interplay between these disciplines provides a unique source of enrichment for each of them. The main theme centers on two related problems: to determine the isomorphism class of the unit group (U)R of ring R in terms of natural invariants associated with R; and to find an effective method for the construction of units of ring R. Various threads of the development are tied together to convey a comprehensive picture of the current state of the subject. Examples are provided to help research workers who need to compute explicitly unit groups of certain rings. A familiarity with basic ring-theoretic and group-theoretic concepts is assumed, but a chapter on algebraic preliminaries is included. The text is distinguished by its very clear exposition.

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Product Description

Book by Karpilovsky Gregory

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Altre edizioni note dello stesso titolo

9780582023413: Unit Groups of Group Rings: No 47

Edizione in evidenza

ISBN 10:  0582023416 ISBN 13:  9780582023413
Casa editrice: Longman Higher Education, 1990
Rilegato