Bilkent Üniversitesi Topoloji Seminerleri
Tate cohomology and cohomologically trivial modules
Muhammed Said Gündoğan
Bilkent University, Türkiye
A G-module M is said to be cohomologically trivial if for any subgroup
H of G, all the Tate cohomology groups of H with coeeficients in M are zero.
We first define Tate cohomology using complete resolutions and discuss the
equivalent conditions for being cohomologically trivial stated in 8th
section of the chapter VI of Brown's book on Cohomology of Groups.
