Unit Groups of Classical Rings - Couverture rigide

Karpilovsky, Gregory

 
9780198535577: Unit Groups of Classical Rings

Synopsis

This book draws together four areas of mathematics - ring theory, group theory, group representation theory and algebraic number theory, examining their interplay. The main theme centres on two related problems: Problem A - given a ring R, determine the isomorphism class of the unit group [U]R of R in terms of natural invariants associated with R. Problem B - given a ring R, find an effective method for the construction of units of R. The study aims to convey a comprehensive picture of the current state of the subject. Examples have been included to help the research worker who needs 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780582023413: Unit Groups of Group Rings

Edition présentée

ISBN 10 :  0582023416 ISBN 13 :  9780582023413
Editeur : Longman Higher Education, 1990
Couverture rigide