High dimensional cohomology of discrete groups
- 1 June 1976
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 73 (6) , 1795-1797
- https://doi.org/10.1073/pnas.73.6.1795
Abstract
For a large class of discrete groups Gamma, relations are established between the high dimensional cohomology of Gamma and the cohomology of the normalizers of the finite subgroups of Gamma. The results are stated in terms of a generalization of Tate cohomology recently constructed by F. T. Farrell. As an illustration of these results, it is shown that one can recover a cohomology calculation of Lee and Szczarba, which they used to calculate the odd torsion in K(3)(Z).Keywords
This publication has 1 reference indexed in Scilit:
- On the Homology of Congruence Subgroups and K 3 (Z)Proceedings of the National Academy of Sciences, 1975