Introduces homological algebra and its applications to groups:

Presentations, the Nielsen-Schreier theorem, and the Kurosh theorem. Chapter C-2: Representation Theory

Characterization and finitely generated modules over Dedekind rings.

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

Orthogonality relations, character tables, and induced characters.

Complexes, homology functors, and derived functors including Ext and Tor. Chapter C-4: More Categories Extends the category theory introduced in Part 1:

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

For more details on where to obtain this volume, you can check the AMS Bookstore or Google Books . Advanced Modern Algebra: Third Edition, Part 2

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

Introduces homological algebra and its applications to groups:

Presentations, the Nielsen-Schreier theorem, and the Kurosh theorem. Chapter C-2: Representation Theory

Characterization and finitely generated modules over Dedekind rings. Advanced Modern Algebra: Third Edition, Part 2 ...

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

Orthogonality relations, character tables, and induced characters. the Nielsen-Schreier theorem

Complexes, homology functors, and derived functors including Ext and Tor. Chapter C-4: More Categories Extends the category theory introduced in Part 1:

This chapter covers group theory in greater depth, including: Actions on graphs and counting principles. Sylow Theorems: Detailed exploration of Sylow theory. and induced characters. Complexes

For more details on where to obtain this volume, you can check the AMS Bookstore or Google Books . Advanced Modern Algebra: Third Edition, Part 2