Advanced Modern Algebra: Third Edition, Part 2 ... -

Focuses on the theory of modules and group representations, primarily in the semisimple case:

Structural analysis of these group types. Projective Groups: Simplicity of and projective unimodular groups. Advanced Modern Algebra: Third Edition, Part 2 ...

This chapter covers group theory in greater depth, including: Actions on graphs and counting principles. Sylow Theorems: Detailed exploration of Sylow theory. Focuses on the theory of modules and group

Local-global principles and localization of rings. and Wedderburn-Artin theorems.

Semidirect products and general group extensions.

Proofs for theorems by Burnside and Frobenius. Chapter C-3: Homology

Artinian and Noetherian rings, Jacobson radicals, and Wedderburn-Artin theorems.