Publication at Faculty of Mathematics and Physics |
2019
Abstract
Tate cohomology (as well as Borel homology and cohomology) of connective K-theory for G=(Z/2)^n was completely calculated by Bruner and Greenlees (The connective K-theory of finite groups, 2003). In this note, we essentially redo the calculation by a different, more elementary method, and we extend it to p>2 prime.
We also identify the resulting spectra, which are products of Eilenberg-Mac Lane spectra, and finitely many finite Postnikov towers. For p=2 , we also reconcile our answer completely with the result of [2], which is in a different form, and hence the comparison involves some non-trivial combinatorics.