Title: On finite resolutions of K(n)-local spheres
Author: Hans-Werner Henn
e-mail address: henn@math.u-strasbg.fr
Author's mailing address:
Institut de Recherche Mathematique Avancee,
C.N.R.S. - Universite Louis Pasteur,
7 rue Rene Descartes,
F-67084 Strasbourg,
France
Abstract: For odd primes p we construct finite resolutions of the
trivial module Z_p for the n-th Morava stabilizer group
by (direct summands of) permutation modules with respect to
finite p-subgroups. Furthermore we discuss
the problem of realizing these resolutions
by finite resolutions of the K(n)-local sphere via
spectra which are (direct summands of)
wedges of homotopy fixed point spectra
for the action of these finite p-subgroups
on the Lubin-Tate spectrum E_n.