ENGLISH

The Jacobson Radical of Group Algebras

By Gregory Karpilovsky (Eds.)

Book information

Publisher
North Holland
Year
1987
ISBN
0444701907, 9780444701909, 9780080872469
ISSN
0304-0208
LCC
QA1 .N86 no. 115,QA171 .N86 no. 115
Open Library ID
OL2738294M
Language
english
Format
PDF
Filesize
6 MB (6312327 bytes)
Series
North-Holland Mathematics Studies 135
Pages
ii-viii, 1-532\543
Topic
Mathematics Algebra
Library
avaxhome.ws
Orientation
no
Scanned
no
Time added
2010-05-31 15:29:46

Description

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 ring-theoretic 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 first-year graduate algebra course, thus familiarity with basic ring-theoretic and group-theoretic 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.

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