The Lyndon-Hochschild-Serre Spectral Sequence for Group Schemes

Title
The Lyndon-Hochschild-Serre Spectral Sequence for Group Schemes

Abstract
An essential tool for computing group cohomology, the Lyndon-Hochschild-Serre(LHS) spectral sequence is a special case of the Grothendieck spectral sequence that relates the group cohomology of a group G to the cohomology of its normal subgroups and associated quotients. We will examine the LHS in the context of group schemes, but this will first require us to talk a little bit about the subtleties involved in the quotients of group schemes. After this, we will examine some of the applications of the LHS.