The representation theory of finite groups. (English) Zbl 0493.20007

Feit, Walter

North-Holland Mathematical Library, Vol. 25. Amsterdam - New York - Oxford: North-Holland Publishing Company. XIV, 502 p. $ 55.00; Dfl. 140.00 (1982).

MSC:

20C20	Modular representations and characters
20C05	Group rings of finite groups and their modules (group-theoretic aspects)
20-02	Research exposition (monographs, survey articles) pertaining to group theory
16S34	Group rings

Keywords:

modular representations of finite groups; induction; restriction; modules over group algebras; Green algebra; induced modules; indecomposable modules; vertices; sources; Green correspondence; Brauer’s first main theorem; blocks; defect group; Brauer’s second main theorem; Brauer’s third main theorem; lower defect groups; serial group algebras; Jacobson radical; cyclic defect groups; indecomposable projective modules; composition factor; faithful indecomposable module; faithful irreducible characters; perfect groups; permutation groups of prime degree; finite p- solvable groups; bibliography