Group Cohomology
Cohomology of groups with applications to representation theory and number theory.
Group Cohomology. Cohomology of groups with applications to representation theory and number theory.
Foundations and canonical references
The standard treatments of group cohomology approach the subject from complementary angles. Brown, Cohomology of Groups (1982) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Weibel, An Introduction to Homological Algebra (1994) gives a parallel, more proof-oriented exposition of the same material and is widely used as a graduate text.
Open methodological questions for group cohomology include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1982Cohomology of Groupsbrown-1982
- textbook · primary · 1994An Introduction to Homological Algebraweibel-1994
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