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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 ha

Ordered algebraic structures --- Group algebras. --- Jacobson radical. --- Modules (Algebra) --- Group algebras --- Jacobson radical --- 512.55 --- 512.55 Rings and modules --- Rings and modules --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Jacobson's radical --- Radical, Jacobson --- Radical theory --- Algebras, Group --- Abelian groups --- Locally compact groups