This chapter provides the algebraic background necessary for the development in Chapter 6 of the character theory of finite groups. Section 12 contains a review of elementary module theory and a treatment of the basic notions of the representation theory of finite groups, finishing with Maschke’s theorem. This motivates Section 13, which concentrates on Wed-derburn’s classification of semisimple algebras and related topics.
KeywordsFinite Group Division Algebra Matrix Algebra Composition Factor Nilpotent Element
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