Margolis homology and Morava K-theory for cohomology of the dihedral group

Abstract

In this paper, we note that the Margolis homology H(H^*(BG; Z/p), Q_n) relates deeply the Morava K-theory K(n)^*(BG). In particular we compute K(n)^*(BD) for the dihedral group D by using Atiyah-Hirzebruch spectral sequence.