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

Cohomology of groups, crossed products, and an introduction to spectral sequences.

Focuses on the theory of modules and group representations, primarily in the semisimple case: Advanced Modern Algebra: Third Edition, Part 2 ...

Introduces homological algebra and its applications to groups: Cohomology of groups, crossed products, and an introduction

Structural analysis of these group types. Projective Groups: Simplicity of and projective unimodular groups. Cohomology of groups

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:

Orthogonality relations, character tables, and induced characters.