The E-2-term of the K(n)-local E-n-Adams spectral sequence

摘要

Let E = E-n be Morava E-theory of height n. In [8] Devinatz and Hopkins introduced the K(n)-local E-n-Adams spectral sequence and showed that, under certain conditions, the E-2-term of this spectral sequence can be identified with continuous group cohomology. We work with the category of L-complete E-*(V) E-comodules, and show that in a number of cases the E-2-term of the above spectral sequence can be computed by a relative Ext group in this category. We give suitable conditions for when we can identify this Ext group with continuous group cohomology. (C) 2016 Elsevier B.V. All rights reserved.