Cohomology of groups is a fundamental tool in many subjects in modernmathematics. One important generalized cohmnology theory is the algebraic Ktheory,and algebraic K-groups of rings such as rings of integers and group ringsare important invariants of the rings. They have played important roles in algebra,geometric and algebraic topology, number theory, representation theory etc. Cohomologyof groups and algebraic K-groups are also closely related. For example,algebraic K-groups of rings of integers in number fields can be effectively studiedby using cohomology of arithmetic groups.
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- Arthur Bartels and Wolfgang LÄuck : On Crossed Product Rings with Twisted Involutions, Their Module Categories and L-Theory
- Oliver Baues : Deformation Spaces for A±ne Crystallographic Groups
- Kenneth S. Brown : Lectures on the Cohomology of Groups
- Daniel R. Grayson : A Brief Introduction to Algebraic K-Theory
- Daniel Juan-Pineda and Silvia Millan-L¶opez : The Braid Groups of RP2 Satisfy the Fibered Isomorphism Conjecture
- Max Karoubi : K-Theory, an Elementary Introduction
- Max Karoubi : Lectures on K-Theory
- Wolfgang LÄuck : On the Farrell-Jones and Related Conjectures
- Stratos Prassidis : Introduction to Controlled Topology and Its Applications
- Hourong Qin : Lecture Notes on K-Theory
- Daniel Quillen : Higher Algebraic K-Theory: I
- Daniel Quillen : Finite Generation of the Groups Ki of Rings of Algebraic Integers
- David Rosenthal : A User's Guide to Continuously Controlled Algebra
- Christophe Soul¶e(Notes by Marco Varisco) : Higher K-Theory of Algebraic Integers and the Cohomology of Arithmetic Groups