Advanced Modern Algebra: Third Edition, Part 2 ... May 2026

Semidirect products and general group extensions.

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

Introduces homological algebra and its applications to groups: Semidirect products and general group extensions

Hilbert's syzygy theorem and regular local rings. the Nielsen-Schreier theorem

Fundamental structures for homological algebra. Sheaves: An introduction to sheaves and sheaf cohomology. K-Theory: Specifically focusing on the functors K0cap K sub 0 G0cap G sub 0 Chapter C-5: Commutative Rings III Advanced topics in commutative algebra:

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

Orthogonality relations, character tables, and induced characters.