The cohomology of S(n,k) relavent to Morava stablizer algebra

Abstract

In this paper we redefine an increasing filtration on the the Hopf algebra S(n,k), From which we get a spectral sequence called May spectral sequence. As an application we computed $H^{\ast ,\ast }S(n,n)$ at prime 2, $H^{\ast ,\ast }S(3,2)$ at prime 3 and $H^{\ast ,\ast }S(4,2)$ at prime $p⩾5$

15 pages