We construct spectral sequences for computing the cohomology of automorphism
groups of formal groups equipped with additional endomorphisms given by a
–adic
number ring. We then compute the cohomology of the group of automorphisms
of a height four formal group law which commute with additional
endomorphisms of the group law by the ring of integers in the field
for
primes
.
This automorphism group is a large profinite subgroup of the height
four strict Morava stabilizer group. The group cohomology of this
group of automorphisms turns out to have cohomological dimension
and total rank
. We then run
the
–local
–Adams
spectral sequence to compute the homotopy groups of the homotopy fixed-point
spectrum of this group’s action on the Lubin–Tate/Morava spectrum
.
PDF Access Denied
We have not been able to recognize your IP address
44.197.111.121
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
