The Jacobson radical of group algebras
Let G be a finite group and let F be a field. It is well known that linear representations of G over F can be interpreted as modules over the group algebra FG. Thus the investigation of ringtheoretic structure of the Jacobson radical J(FG) of FG is of fundamental importance. During the last two dec...
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Format:  eBook 
Language:  English 
Published: 
Amsterdam
NorthHolland
1987, 1987

Series:  NorthHolland mathematics studies

Subjects:  
Online Access:  
Collection:  Elsevier eBook collection Mathematics  Collection details see MPG.ReNa 
Summary:  Let G be a finite group and let F be a field. It is well known that linear representations of G over F can be interpreted as modules over the group algebra FG. Thus the investigation of ringtheoretic structure of the Jacobson radical J(FG) of FG is of fundamental importance. During the last two decades the subject has been pursued by a number of researchers and many interesting results have been obtained. This volume examines these results. The main body of the theory is presented, giving the central ideas, the basic results and the fundamental methods. It is assumed that the reader has had the equivalent of a standard firstyear graduate algebra course, thus familiarity with basic ringtheoretic and grouptheoretic concepts and an understanding of elementary properties of modules, tensor products and fields. A chapter on algebraic preliminaries is included, providing a survey of topics needed later in the book. There is a fairly large bibliography of works which are either directly relevant to the text or offer supplementary material of interest 

Physical Description:  x, 532 pages 
ISBN:  9780444701909 9780080872469 1281798002 0444701907 0080872468 